find the hcf of 20 40 by short division method
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Answer:
4 is HCF of 20 and 40.
Explanation:
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Answer:
I’m not sure what the “short division method” is, but the HCF (aka GCD) is the same no matter how you find it.
Factor each number into its prime factors:
42 = 2*3*7
63=3*3*7
126=2*3*3*7
Multiply together the largest common factors to get the HCF/GCD. 2 does not appear in all 3 numbers, so it is discarded. 3 appears in all of them, but only once in all of them, so we only use it once. 7 appears in all of them, again only once. Our HCF/GCD is therefore 3*7 = 21.
42/21 = 2
63/21 = 3
126/21 = 6
All three numbers are multiples of 21, as expected.
Explanation:
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