Question

Find the greatest number that divides 1025,1299 and 1575 leaving remainders
7,11 and 15 respectively.​

Answer 1

Answer:

Step-by-step explanation:

Required number must divide the number if we subtract the remainder from the given numbers

∴ Required number must divide (1025−7)= 1018

(1299−11) = 1288and

(1575−15)= 1560 exactly.

∴ Required number =HCF of 1018,1288 and 1560

1018 = Factors 2 and 509

1288= Factors 2,2,2 and 161

1560 = Factors 2,2,2,5,39

Hence Required number = 2