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Home / Solution: Use the Euclidean algorithm:

Solution: Use the Euclidean algorithm:

February 22, 2026

Solution: Use the Euclidean algorithm:

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+ 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45
Now compute $ 45 \mod 9 $:
Question: What is the greatest common divisor of $ 12345 $ and $ 98765 $?
\gcd(98765, 12345)
Step 1:
= 8 \cdot 12345 + 125, \quad \text{since } 8 \cdot 12345 = 98760

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