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Answer :
Final answer:
The H.C.F of 145 and 232 is 29. The L.C.M using the H.C.F is 1456.
Explanation:
To find the H.C.F of 145 and 232, we can use the Euclidean algorithm. Divide 232 by 145 to get a quotient of 1 and a remainder of 87. Then divide 145 by 87 to get a quotient of 1 and a remainder of 58. Continuing this process, we divide 87 by 58 to get a quotient of 1 and a remainder of 29. Finally, we divide 58 by 29 to get a quotient of 2 and a remainder of 0. The last non-zero remainder is 29, which means it is the H.C.F of 145 and 232.
To find the L.C.M using the H.C.F, we can use the formula: L.C.M = (first number * second number) / H.C.F. Substituting the values, we get L.C.M = (145 * 232) / 29 = 1456.
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