1.Find the smallest number that, when divided by 16, 18, and 21, leaves remainders of 3, 5, and 8 respectively.
2.If the product of two numbers is 2025 and their highest common factor (HCF) is 15, what is their least common multiple (LCM)?
3.Determine the highest common factor (H.C.F) of the numbers 54/9, 3 9/17, and 36/51.
4.What is the highest common factor (HCF) of the numbers 204, 1190, and 1445?
5.What is the highest common factor (HCF) of the numbers 12, 16, 18, and 24?
6.What is the highest common factor (HCF) of the fractions 3/16, 5/12, and 7/8?
7.What is the least common multiple (LCM) of the fractions 1/3, 5/6, 5/4, and 10/7?
8.What is the least common multiple (LCM) of the numbers 455, 117, and 338?
9.What is the least common multiple (LCM) of 87 and 145?
10.What is the least common multiple (LCM) of 18 and 27?
11.The least common multiple (LCM) of two numbers is 138, and their greatest common divisor (GCD) is 23. If the two numbers are in the ratio 1:6, what is the larger number?
12.If the Greatest Common Divisor (GCD) of two numbers is 8 and their Least Common Multiple (LCM) is 144, and one of the numbers is 16, what is the other number?
13.The least common multiple (LCM) of two numbers is 48, and their ratio is 2 to 3. What is the sum of these two numbers?
14.Among the numbers listed below, which one has the greatest quantity of divisors?
15.What is the largest number that, when dividing 1657 and 2037, leaves remainders of 6 and 5 respectively?
16.Three runners A, B, and C begin running simultaneously around a circular track in the same direction. Runner A completes one lap in 252 seconds, B in 308 seconds, and C in 198 seconds. After how much time will all three runners meet again at the starting point?
17.What is the smallest number that must be added to 2497 so that the resulting total is divisible by 3, 4, 5, and 6 without any remainder?
18.What is the smallest four-digit number that is divisible by 15, 25, 40, and 75?
19.What is the smallest fraction that is exactly divisible by each of the following fractions: 6/7, 5/14, and 10/21?
20.What is the smallest number that, when multiplied by 2, becomes divisible by 12, 18, 21, and 30 without any remainder?