Question

find the Hcf 270,450,315by continued division method​

Answer 1

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1. Decompose all numbers into prime factors

270 2 135 3 45 3 15 3 5 5 1 315 3 105 3 35 5 7 7 1 405 3 135 3 45 3 15 3 5 5 1

2. Write all numbers as the product of its prime factors

Prime factors of 270 = 2 . 33 . 5

Prime factors of 315 = 32 . 5 . 7

Prime factors of 405 = 34 . 5

3. Choose the common prime factors with the lowest exponent

Common prime factors: 3 , 5

Common prime factors with the lowest exponent: 32, 51

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 32. 51 = 45