Find the HCF of 255 and 357 using division method

1.	Find the HCF of 255 and 357 using division method
Answer» Answer: Step 1. Divide the larger NUMBER by the smaller one: 357 ÷ 255 = 1 + 102; Step 2. Divide the smaller number by the above operation's remainder: 255 ÷ 102 = 2 + 51; Step 3. Divide the remainder from the step 1 by the remainder from the step 2: 102 ÷ 51 = 2 + 0; At this step, the remainder is zero, so we stop: 51 is the number we were looking for, the last remainder that is not zero. This is the greatest common factor (DIVISOR). Greatest (highest) common factor (divisor): GCF, hcf, gcd (255; 357) = 51 gcf, hcf, gcd (255; 357) = 51 = 3 × 17;

Answer»

Answer:

Step 1. Divide the larger NUMBER by the smaller one:

357 ÷ 255 = 1 + 102;

Step 2. Divide the smaller number by the above operation's remainder:

255 ÷ 102 = 2 + 51;

Step 3. Divide the remainder from the step 1 by the remainder from the step 2:

102 ÷ 51 = 2 + 0;

At this step, the remainder is zero, so we stop:

51 is the number we were looking for, the last remainder that is not zero.

This is the greatest common factor (DIVISOR).

Greatest (highest) common factor (divisor):

GCF, hcf, gcd (255; 357) = 51

gcf, hcf, gcd (255; 357) = 51 = 3 × 17;

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