Hcf of 306 234 405
By division method
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1. Decompose all numbers into prime factors
234 2 117 3 39 3 13 13 1 306 2 153 3 51 3 17 17 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 234 = 2 . 32 . 13
Prime factors of 306 = 2 . 32 . 17
Prime factors of 405 = 34 . 5
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3
Common prime factors with the lowest exponent: 32
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 = 9
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