Find gcd(678, 588)=

kloseyq 2021-12-16 Answered
Find gcd(678, 588)=
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Expert Answer

Durst37
Answered 2021-12-17 Author has 37 answers
Step 1
The given numbers are 678 and 588.
Evaluate the prime factorization of 678 as follows.
678=2×339
=2×3×113
Evaluate the prime factorization of 588 as follows.
588=2×294
=2×2×147
=2×2×3×49
=2×2×3×7×7
Step 2
Check for the overlap of the two expressions as follows.
678=2×3×113
588=2×2×3×7×7
Observe that the overlap of the two expressions is 2×3=6.
Therefore, the gcd(678, 588) is 6.

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