Prove that 847. 2160 are co_ prime
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847 = 7 × 121
= 7 × 11 × 11
= 1 × 7 × 11 × 11
2160 = 2 × 1080
= 2 × 2 × 540
= 2 × 2 × 2 × 270
= 2 × 2 × 2 × 2 × 135
= 2 × 2 × 2 × 2 × 3 × 45
= 2 × 2 × 2 × 2 × 3 × 3 × 15
= 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5
= 1 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5
Therefore, HCF (847, 2160) = 1, and thus 847 and 2160 are co-prime.
This completes the proof.
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