Ingat kembali:
-FPB adalah faktor terbesar yang sama dari beberapa bilangan-bilangan tertentu.
-KPK adalah bilangan kelipatan terkecil yang sama dari beberapa bilangan-bilangan tertentu.
Untuk menentukan FPB dan KPK dari dari 50, 100, dan 125 pertama kita menentukan faktor-faktor prima dengan pohon faktor pada bilangan tersebut:
![](https://imgix3.ruangguru.com/assets/miscellaneous/png_4zpvg4_7360.PNG)
Sehingga faktor dari ketiga bilangan tersebut:
50100125======2×5×52×522×2×5×522×525×5×553
Menentukan KPK
1. Pilihlah semua faktor-faktor primanya.
![table attributes columnalign right center left columnspacing 0px end attributes row 50 equals cell bold 2 cross times bold 5 to the power of bold 2 end cell row blank blank blank row 100 equals cell bold 2 to the power of bold 2 cross times bold 5 to the power of bold 2 end cell row blank blank blank row 125 equals cell bold 5 to the power of bold 3 end cell end table](data:image/png;base64,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)
2. Jika bilangan pokoknya sama, pilih satu bilangan pokok dengan pangkat terbesar.
![table attributes columnalign right center left columnspacing 0px end attributes row 50 equals cell 2 cross times 5 squared end cell row blank blank blank row 100 equals cell bold 2 to the power of bold 2 cross times 5 squared end cell row blank blank blank row 125 equals cell bold 5 to the power of bold 3 end cell end table](data:image/png;base64,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)
3. Kalikan bilangan-bilangan yang terpilih.
KPK===22×534×125500
Menentukan FPB:
1. Carilah bilangan pokok yang sama.
2. Pilihlah bilangan pokok yang memilki pangkat terkecil.
![table attributes columnalign right center left columnspacing 0px end attributes row 50 equals cell 2 cross times bold 5 to the power of bold 2 end cell row blank blank blank row 100 equals cell 2 squared cross times 5 squared end cell row blank blank blank row 125 equals cell 5 cubed end cell end table](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFcAAABcCAYAAAAbDymvAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAva/WvxwAABA9JREFUeNrtnT9oFEEUxkMQEZGAkcv92fOEIBZGRAgiIiEIkipIOkklwU6sbIO9WFiJrYWIjUgQuyAiYmETgkWQQBARC0kjIuE4AvF7MIFz3dl5ezuzuxe/H3mst5mb2fl25u2szEdGRggh/wF7+DHRQ3xAnKUq/kWeNSJvUI1wo7hLJfwLe9KIu5q7smazuZcU8XKtVusKzq8heoh1xIzPTtXr9XnU+d7UL8fHtVrtmOd8+k8klL2L2EZMehFX0fFJlPuMmDbfmUZsynlf4uLmvW40GrP456j5fAttvLBc87KE9nySiJabMI9YQ0x76ZRGXHT0kXQ2dm5JzgecoaO4tp2U6/5LSJuwWnFRYNGMZn+rBI24KLOFUVXrPxdF0Qmc/5ol1dhSjqWOU9Kuo8xyfyjSQhexjriPqMfK7LhSxqA5twfxvuP4DKJdSCiza/luL9SwxfW8wsxYUFz/qoRy2h9BLCA+In4gzhfylERHjkpn5KGF4zWluN6XK/IQk5uMa7iuEFY1chNEHtt/WSh0KSLTX1YDsU5sxtOCKbflMy1MTEzUUe/zdrt9WiusJudaBO4WvpYdHx8fk5VBwgNtKf5Ak+WSr3Y7nc5x1PdSjlmFzSowRI1MXv0SOh08kYdH35JrBeduJC3F9vMxPl+SUetzKSY5FvWdC/RisIK43PeS8MaIuxhaXFlPbpvFu+TbRctomTEvDz3zMuH1JSLPykIh7pz5z5hdxG8j9swIIYQQQgghhBBCCCGEEEIIIYQQQggpn0ajcbvZbP5CfJOd6Ae1zVJotVoPpqamDstuH9nyelDbLJtDIbavVrDNUkbwHXT0YeltRlF0BsP5XnzPbeyLTqdOVdw86MtV2REpIylvm9rNf9Y2Ufip2Uu7Z+mU06lTFTePDBQpJznQIlamfbuaXZSuNlMr0jh1quLmwee30lnHaFTvOFeabZxtWivSOHWq4ubR1qP1SijFdbeZIq7TqVNlN0+KKE6Xj8bJpE7eGcXtZinjiyxunrwjty/FWZ1MecV1OnWq6ObxkXMTZkstbVU16AMt1alTNTePVtisAic5mXKJq3HqDLubJyUdOJ1MmRfKCWWcTp1hdvOkiKtyMhFCCCGEEEIIIYQQQgghhBBCCCGEkICYjSK7svPcbJQmvjG7vX9SiTAjeM72BzpI/tSwHt/SWtoUSnPzaFw0RWySy9IG+nMTv3tXhTud6ubRuGhC7zYcpI2QloGQF5/koqmUuDJyMQg+DZ24NheNjymeNtUzOms2IPDFoRM3yUXjzfXiFi5oG6WJq3HR5Ha9KCiijULFzeqicblefJj8BnbWVEncQVw0A7teMlBEG8HF1bhocrtedOkgeBuh3mis01IzdYtwvQyTs+YP815xn2zkWvIAAAOpdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG10YWJsZSBjb2x1bW5hbGlnbj0icmlnaHQgY2VudGVyIGxlZnQiIGNvbHVtbnNwYWNpbmc9IjBweCI+PG10cj48bXRkPjxtbiBtYXRoY29sb3I9IiMxOTE5MTkiPjUwPC9tbj48L210ZD48bXRkPjxtbyBtYXRoY29sb3I9IiMxOTE5MTkiPj08L21vPjwvbXRkPjxtdGQ+PG1uIG1hdGhjb2xvcj0iIzE5MTkxOSI+MjwvbW4+PG1vIG1hdGhjb2xvcj0iIzE5MTkxOSI+JiN4RDc7PC9tbz48bXN1cD48bW4gbWF0aGNvbG9yPSIjRkYwMDAwIiBtYXRodmFyaWFudD0iYm9sZCI+NTwvbW4+PG1uIG1hdGhjb2xvcj0iI0ZGMDAwMCIgbWF0aHZhcmlhbnQ9ImJvbGQiPjI8L21uPjwvbXN1cD48L210ZD48L210cj48bXRyPjxtdGQvPjxtdGQvPjxtdGQvPjwvbXRyPjxtdHI+PG10ZD48bW4gbWF0aGNvbG9yPSIjMTkxOTE5Ij4xMDA8L21uPjwvbXRkPjxtdGQ+PG1vIG1hdGhjb2xvcj0iIzE5MTkxOSI+PTwvbW8+PC9tdGQ+PG10ZD48bXN1cD48bW4gbWF0aGNvbG9yPSIjMTkxOTE5Ij4yPC9tbj48bW4gbWF0aGNvbG9yPSIjMTkxOTE5Ij4yPC9tbj48L21zdXA+PG1vIG1hdGhjb2xvcj0iIzE5MTkxOSI+JiN4RDc7PC9tbz48bXN1cD48bW4gbWF0aGNvbG9yPSIjMTkxOTE5Ij41PC9tbj48bW4gbWF0aGNvbG9yPSIjMTkxOTE5Ij4yPC9tbj48L21zdXA+PC9tdGQ+PC9tdHI+PG10cj48bXRkLz48bXRkLz48bXRkLz48L210cj48bXRyPjxtdGQ+PG1uIG1hdGhjb2xvcj0iIzE5MTkxOSI+MTI1PC9tbj48L210ZD48bXRkPjxtbyBtYXRoY29sb3I9IiMxOTE5MTkiPj08L21vPjwvbXRkPjxtdGQ+PG1zdXA+PG1uIG1hdGhjb2xvcj0iIzE5MTkxOSI+NTwvbW4+PG1uIG1hdGhjb2xvcj0iIzE5MTkxOSI+MzwvbW4+PC9tc3VwPjwvbXRkPjwvbXRyPjwvbXRhYmxlPjwvbWF0aD5D6snIAAAAAElFTkSuQmCC)
3. Kalikan bilangan-bilangan yang terpilih.
FPB===525×525
Jadi FPB dan KPK dari 50, 100, dan 125 adalah masing-masing 25 dan 500.