Show that 24 and 77 are co-prime numbers
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Step-by-step explanation:
Step 1. Divide the larger number by the smaller one:
77 ÷ 24 = 3 + 5;
Step 2. Divide the smaller number by the above operation's remainder:
24 ÷ 5 = 4 + 4;
Step 3. Divide the remainder from the step 1 by the remainder from the step 2:
5 ÷ 4 = 1 + 1;
Step 4. Divide the remainder from the step 2 by the remainder from the step 3:
4 ÷ 1 = 4 + 0;
At this step, the remainder is zero, so we stop:
1 is the number we were looking for, the last remainder that is not zero.
This is the greatest common factor (divisor).
gcf, hcf, gcd (24; 77) = 1;
Coprime numbers (relatively prime) (24; 77)? Yes.
gcf, hcf, gcd (24; 77) = 1.
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