A Boy Divided The Numbers 7654, 8506 And 9997 By A Certain Largest Nu

1.	A Boy Divided The Numbers 7654, 8506 And 9997 By A Certain Largest Number And He Gets Same Remainder In Each Case. What Is The Common Remainder?
Answer» 9997 - 7654 = 2343 9997 - 8506 = 1491 8506 - 7654 = 852 Hence, the greatest number which divides 7654, 8506 and 9997 and leaves same remainder = HCF of 2343, 1491, 852 = 213 Now we need to FIND out the common remainder. TAKE any of the given numbers from 7654, 8506 and 9997, say 7654 7654 ÷ 213 = 35, remainder = 199. 9997 - 7654 = 2343 9997 - 8506 = 1491 8506 - 7654 = 852 Hence, the greatest number which divides 7654, 8506 and 9997 and leaves same remainder = HCF of 2343, 1491, 852 = 213 Now we need to find out the common remainder. Take any of the given numbers from 7654, 8506 and 9997, say 7654 7654 ÷ 213 = 35, remainder = 199.

A Boy Divided The Numbers 7654, 8506 And 9997 By A Certain Largest Number And He Gets Same Remainder In Each Case. What Is The Common Remainder?

Answer»

9997 - 7654 = 2343

9997 - 8506 = 1491

8506 - 7654 = 852

Hence, the greatest number which divides 7654, 8506 and 9997 and leaves same remainder

= HCF of 2343, 1491, 852

= 213

Now we need to FIND out the common remainder.

TAKE any of the given numbers from 7654, 8506 and 9997, say 7654

7654 ÷ 213 = 35, remainder = 199.