Question

What is the largest number that will divide 47,35and27 leaving same remainder in each case.What will be common remainder?

Answer 1

Answer:

3

Step-by-step explanation:

Cause 27 can be Divide by Three and 4735 can be also divide by 3

Answer 2

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

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?

$\frac{47}{4} = 11\frac{3}{4}$

$\frac{35}{4} = 8\frac{3}{4}\\\\\frac{27}{4} = 6\frac{3}{4}$

Thus common remainder is 3

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