Math, asked by sarojkachhap0, 10 months ago

Using the division method , find the
Hcf of 32 , 56 , and 46

Answers

Answered by Kusumsahu7
21
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Answered by halamadrid
1

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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