Question

Q.20 - What largest number will divide 47, 35 and 27 leaving same
remainder in each case? What will be the common remainder?​

Answer 1

Answer:

4 is the largest number that will divide 47, 35 and 27 leaving same remainder in each case

The common remainder is 3

Solution:

Given are:

47 , 35 and 27

1.Subtract three numbers from each other

47 - 35 = 12

35 - 27 = 8

47 - 27 = 20

Largest number is needed

Which means, find greatest common factor of 12 , 8 and 20

FIND GCF OF 12 , 8 , 20

The factors of 8 are: 1, 2, 4, 8

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 20 are: 1, 2, 4, 5, 10, 20

Then the greatest common factor is 4

What will be common remainder?

Thus common remainder is 3

Read more on Brainly.in - https://brainly.in/question/17140127#readmore