Question

3. Find the greatest number that will divide 138 and 183 and 423 leaving 3 as remainder in each case.​

Answer 1

Step-by-step explanation:

Let the no. be x.

138⇒x×α

1

+3.

x×α

1

=135

similarly,

x×α

2

+3=183

xα

2

=180.

similarly

xα

3

=243−3

=240.

Taking HCF OF 135, 180 & 240.

∴ Highest common factor =5×3

=15.

∴ greatest no which will divide 138,183 &

243 and leaves remainder as '3' = 15