Question

Find the largest number that will divide 260, 720, and 145 leaving 7 as remainder in each case

Answer 1

Hi friend
Here's your answer looking for

First subtract the respective reminder from the given number.

260-7=253

720-7=713

And,
145-7=138

Now let's find the HCF of 253 713 and 138.

253= 11×23

713=23×31

And,138= 2×3×23

So, HCF = 23
Hence 23 is required number

Hope you are satisfied with my answer