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Use Euclid’s division algorithm to find the HCF of 255 and 867

Question

Use Euclid’s division algorithm to find the HCF of 255 and 867

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Solution

To find the highest common factor (HCF) of 255 and 867 using Euclid's division algorithm, we need to follow these steps:

Step 1: Divide the larger number (867) by the smaller number (255). 867 ÷ 255 = 3 remainder 102

Step 2: Now, divide the previous divisor (255) by the remainder (102). 255 ÷ 102 = 2 remainder 51

Step 3: Repeat the process by dividing the previous divisor (102) by the remainder (51). 102 ÷ 51 = 2 remainder 0

Step 4: The remainder is now 0, which means we have found the HCF.

Therefore, the HCF of 255 and 867 is 51.

This problem has been solved

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