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Q.

If the L.C.M of two numbers such thatL.C.M (91, 26) = 182 then find the H.C.F of (91, 26).

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a

15

b

16

c

13

d

19

answer is C.

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Detailed Solution

We know that,
LCM ×HCF=Product of two numbers
The L.C.M of 26 and 91 is 182. So,
L.C.M × H.C.F = product of two numbers.

H . C . F = \frac{product of two numbers}{L \cdot C \cdot M}

H . C . F = \frac{91 \times 26}{182}

HCF

= 13

So, the highest common factor, H.C.F of 91 and 26 is 13.
Correct option is 3.

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If the L.C.M of two numbers such thatL.C.M (91, 26) = 182 then find the H.C.F of (91, 26).