What is the largest number which that divides 626 3127 and 15628 and leaves remainders of 1 2 and 3 ...

Question

What is the largest number which that divides 626 3127 and 15628 and leaves remainders of 1 2 and 3 respectively

Accepted Answer

From the question its understood that 626 1 625 3127 2 3125 and 15628 3 15625 has to be exactly divisible by the number Thus the required number should be the HCF of 625 3125 and 15625 First consider 625 and 3125 and apply Euclids division lemma 3125 625 x 5 0 HCF 625 3125 625 Next consider 625 and the third number 15625 to apply Euclids division lemma 15625 625 x 25 0 We get the HCF of 625 and 12625 to be 625 HCF 625 3125 15625 625 So the required number is 625

RD Sharma Solutions Class 10 Mathematics Solutions for Real Numbers Exercise 1.2 in Chapter 1 - Real Numbers