Using the division method , find the
Hcf of 32 , 56 , and 46
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HCF (32, 56, 46) = 2
Given:
The numbers 32, 56, and 46.
To Find:
HCF (32, 56, 46) using the long division method.
Solution:
First, let us find the HCF of 32 and 56.
56 = 1x32 + 24
32 = 1x24 + 8
24 = 3x8 + 0
Hence, we obtain that 8 is the highest factor that divides both 32 and 56.
∴ HCF(32 ,56) = 8.
Now let us find out the HCF of 8 and 46.
46 = 5x8 + 6
8 = 1x6 + 2
6 = 3x2 + 0
Hence, we obtain that 2 is the highest factor that divides both 8 and 46.
⇒ 2 is the highest factor that divides 32, 56, and 46.
∴ HCF (32, 56, 46) = 2
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