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Find the H.C.F. of 308/825, 490/297 and 126/275.

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Find the H.C.F. of 308/825, 490/297 and 126/275.
1). 14/7425
2). 14/625
3). 10/1485
4). 22/2475


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3 vote
Answered by on | Votes 3 |

308 = 2 × 2 × 7 × 11

490 = 2 × 5 × 7 × 7

126 = 2 × 3 × 3 × 7

H.C.F. (308, 490, 126) = 2 × 7 = 14

825 = 3 × 5 × 5 × 11

297 = 3 × 3 × 3 × 11

275 = 5 × 5 × 11

L.C.M. (825, 297, 275) = 3 × 5 × 5 × 3 × 3 × 11 = 7425

∴ H.C.F. (308/825, 490/297, 126/275)

⇒ H.C.F. (308, 490, 126)/L.C.M.(825, 297, 275) = 14/7425

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