Find the HCF of the numbers in each of the following, using the division method 2241, 2324

Find the HCF of the following using long division method 16 and 24

Question 14 Factors and Multiples Exercise 2D

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Answer:

We will divide 2324 by 2241 to obtain the HCF using the division method. The remainder becomes the new divisor, while the old divisor becomes the new dividend. We repeat the process until there is no more remainder. The last divisor is the required HCF of the given numbers.

∴ The Common factor of 2241, 2324 = 83

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Find the HCF of the numbers in each of the following, using the division method:
2241, 2324

The given numbers are 2241and 2341.
We have:

∴ HCF = 83

Concept: Highest Common Factor

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Page 2

The given numbers are 658, 940, and 1128.
First, we will find the HCF of 658 and 940.

Thus, the HCF of 658 and 940 is 94.
Now, we will find the HCF of 94 and 1128.

Thus, the HCF of 94 and 1128 is 94.
∴ The HCF of 658, 940, and 1128 is 94.

Page 3

Find the HCF of the numbers in each of the following, using the division method:
754, 1508, 1972

The given numbers are 754, 1508, and 1972. First, we will find the HCF of 754 and 1508.

So, the HCF of 754 and 1508 is 754.Now, we will find the HCF of 754 and 1972.

So, the HCF of 754 and 1972 is 58.
∴ The HCF of 754, 1058 and 1972 is 58.

Concept: Highest Common Factor

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Page 4

The given numbers are 391, 425, and 527.First, we will find the HCF of 391 and 425.

So, the HCF of 391 and 425 is 17.Now, we will find the HCF of 17 and 527.

So, the HCF of 17 and 527 is 17.
∴ The HCF of 391, 425, and 527 is 17.

Page 5

The given numbers are 1794, 2346, and 4761.First, we will find the HCF of 1794 and 2346.

So, the HCF of 1794 and 2346 is 138.Now, we will find the HCF of 138 and 4761.

So, the HCF of 138 and 4761 is 69.
∴ The HCF of 1794, 2346, and 4761 is 69.