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Sum of two numbers is 56. If their LCM is 105, then the numbers are

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Important Questions on HCF and LCM

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The greatest number of three digits which when added to 45 is exactly divisible by 6, 8, 12 is
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The sum of two numbers is pq and their difference is17 of their sum. Their HCF is
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Three numbers which are co-prime to one another are such that the product of first two is 551 and that of the last two is 1,073 ; the sum of the three numbers is
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A boy running up a staircase finds that when he goes up two steps at a time there is one step over; when he goes up three at a time there are two over and when he goes up four at a time, there are three over. Find the number of stairs, which is somewhere between 40 and 50.
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A number when divided by 10 leaves a remainder 9, when divided by 9 leaves a remainder 8, when divided by 8 leaves a remainder 7 and when divided by 2 leaves a remainder 1. Determine the number.
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When 1,388, 3,309 and 7,151 are divided by a certain number of three digits, the remainders are the same. Find the remainder.
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Four prime numbers are written in ascending order of their magnitudes. The product of first three is 715 and that of last three is 2,431. What is the largest given prime number?
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The LCM of two numbers is 2,900 per cent more than their HCF and the sum of LCM and HCF of two numbers is 310. If one of the numbers is 20, find the other number.