Find the largest number which divides 2053 and 967 and leaves a remainder of 5 and 7 respectively

Find the largest number which divides 2053 and 967 and leaves a remain

1.	Find the largest number which divides 2053 and 967 and leaves a remainder of 5 and 7 respectively
Answer» 2053 leaves remainder 5So,2053-5=2048Now, 967 leaves remainder 7So,967-7=960The no. Are 2048 and 960And HCF of 2048 and 960 is 64Thereforev the largest no. Which is divisible by 2053 and 967 and leaves remainder 5 and 7 is 64