Book Maths Puzzle Numerical Ability LCM and HCF

What is the greatest number which on dividing 1223 and 2351 leaves remainders 90 and 85 respectively?

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Book Other Question

What is the least multiple of 7 which leaves a remainder of 4 when divided by 6, 9, 15 and 18 ? If HCF of two numbers is 11 and the product of these numbers is 363, what is the the greater number?