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Answer :
Final answer:
To find the HCF of 649 and 913, use the long division method to divide the larger number by the smaller number repeatedly until the remainder is 0. The last divisor used is the HCF, which is 11.
Explanation:
To find the highest common factor (HCF) of two numbers using the long division method, start by dividing the larger number by the smaller number. Keep dividing until you get a remainder of 0. The last divisor used is the HCF.
In this case, let's divide 913 by 649:
- 913 ÷ 649 = 1 with a remainder of 264
- 649 ÷ 264 = 2 with a remainder of 121
- 264 ÷ 121 = 2 with a remainder of 22
- 121 ÷ 22 = 5 with a remainder of 11
- 22 ÷ 11 = 2 with a remainder of 0
The last divisor used is 11, so the HCF of 649 and 913 is 11.
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