Find the H. C. F of 210, 240 and 360 by prime factorisation method.
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Step-by-step explanation:
instructions to find the GCF of 210, 240 and 360 are the next:
1. Decompose all numbers into prime factors
210 2 105 3 35 5 7 7 1 240 2 120 2 60 2 30 2 15 3 5 5 1 360 2 180 2 90 2 45 3 15 3 5 5 1
2. Write all numbers as the product of its prime factors
Prime factors of 210 = 2 . 3 . 5 . 7
Prime factors of 240 = 24 . 3 . 5
Prime factors of 360 = 23 . 32 . 5
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5
Common prime factors with the lowest exponent: 21, 31, 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 = 21. 31. 51 = 30
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Above is the picture and the HCF is 30.
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