LCM and HCF Practice Test 4

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Question : 32 of 40

Marks: +1, -0

The H.C.F. of

5 /6 , 6 /7 , 7/ 8 , 8 /9

and

9/ 10

is

$1 /2420$
$1 /2520$
$1 /2660$
$1 /2540$

Solution:

H.C.F. of

5 /6 , 6 /7 , 7/ 8 , 8 /9

and

9/ 10

={H.C.F. of 5,6,7,8 \and 9}/{LCM \of 6,7,8,9 \and 10 }

Now H.C.F. of 5, 6, 7, 8 and 9 = 1
and L.C.M. of 6, 7, 8, 9 and 10 = 2520
∴ Required H.C.F.

=1/2520

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