8. Find the H.C.F. of 513, 1134 and 1215. – InterviewSolution

1.

8. Find the H.C.F. of 513, 1134 and 1215.

Answer»

First find prime factors of 513,1134, and 1215

1215= 3×3×3×3×3×5= 3^5 ×^1

1134= 3×3×3×3×2×7= 3^4×2^1×7^1

513= 3×3×3×19= 3^3×19^1

H.C.F= 3^3 = 3×3×3= 27

Hence the HCF of 513,1134 and 1215 is 27

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