Find the HCF by vertical 440 and 580
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Answer:
440 = 2×2×2×5×11
580 = 2×2×5×29
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Step-by-step explanation:
Step 1. Divide the larger number by the smaller one:
580 ÷ 440 = 1 + 140;
Step 2. Divide the smaller number by the above operation's remainder:
440 ÷ 140 = 3 + 20;
Step 3. Divide the remainder from the step 1 by the remainder from the step 2:
140 ÷ 20 = 7 + 0;
At this step, the remainder is zero, so we stop:
20 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 (580; 440) = 20
gcf, hcf, gcd (580; 440) = 20 = 22 × 5;
gcf, hcf, gcd (580; 440) = 22 × 5 = 20;
The numbers have common prime factors.
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