Question

Find the greatest number which divides 82 and 132 leaving 1and 6 respectively as reminder step by step how to write

Answer 1

Answer:

HOPE!!!

Here given that, 82 and 132 that leaves remainder 1 and 6.

So,

we have to subtract 82 from 1 and 132 from 6.

( 82 - 1 ) = 81

( 132 - 6 ) = 126

Now,

the, HCF ( 81 and 126 ) = 5

HOPE THIS HELPS YOU!!!!

Answer 2

$\mathfrak{Question:}$

Find the greatest number which divides 82 and 132 leaving 1 and 6 respectively as remainder.

$\mathfrak{Solution:}$

• To find the greatest number, we've to find the H.C.F of ( 82 - 1 ) and     ( 132 - 6 ).

82 - 1 = 81

132 - 6 = 126

Now,

81 = 3 × 3 × 3 × 3

126 = 3 × 3 × 2 × 7

∴ H.C.F = 3 × 3

= 9

So, 9 is the greatest no. that divides 81 and 132.