Question

the greatest number that will divide 49 97 and 133 leaving the same remainder in each case is​

Answer 1

Answer:

take hcf of all three numbers

pls mark the brainliest answer

Answer 2

Step-by-step explanation:

Given Problem:-

the greatest number that will divide 49 97 and 133 leaving the same remainder in each ccase?

Solution:-

Given numbers =49,97,133

Let the same remainder =r

then the greatest number that will divide 49 97 and 133 leaving the same remainder in each case is the HCF of 49-r , 97-r, 133-r

Here the remainder should be write like this

now The HCF of the given numbers

97-43;133-43;133-97

=>HCF of 54,90,36

=>54×2×3×3×3

90=2×3×3×5

36=2×2×3×3

HCF =2×3×3

=>HCF=18

Answer:-

The greatest number that will divide 49 97 and 133 leaving the same remainder in each case is 18