1.Among the following fractions, which one has the greatest value?
2.Given that the highest common factor (H.C.F) of two numbers is 23, and the other two factors of their least common multiple (L.C.M) are 13 and 14, what is the greater of the two numbers?
3.If the highest common factor (H.C.F) of two numbers is 8, which of the following values cannot be their least common multiple (L.C.M)?
4.If the product of two numbers that are co-prime is 117, what is their least common multiple (L.C.M)?
5.Two numbers have a sum of 55, with their highest common factor (HCF) being 5 and their least common multiple (LCM) being 120. What is the value of the sum of their reciprocals?
6.Two numbers have a highest common factor (HCF) of 5 and a least common multiple (LCM) of 495. If their sum is 100, what is the difference between the two numbers?
7.Two numbers have a Highest Common Factor (H.C.F) of 11 and a Lowest Common Multiple (L.C.M) of 7700. If one number is 275, what is the other number?
8.Two numbers have a Highest Common Factor (H.C.F) of 84 and a Least Common Multiple (L.C.M) of 21. If their ratio is 1:4, what is the larger number?
9.Three numbers have a ratio of 3:4:5, and their least common multiple (LCM) is 2400. What is their highest common factor (HCF)?
10.The least common multiple (LCM) of two numbers is 48, and their ratio is 2:3. What is the sum of these two numbers?
11.Three pairwise co-prime numbers have the property that the product of the first and second is 551, and the product of the second and third is 1073. What is the sum of these three numbers?
12.Two numbers have a product of 2028 and their highest common factor (HCF) is 13. How many distinct pairs of such numbers exist?
13.Two numbers have a product of 4107, and their highest common factor (HCF) is 37. What is the larger of these two numbers?
14.Two numbers have a sum of 528 and their highest common factor (HCF) is 33. How many distinct pairs of numbers satisfy these conditions?
15.Two numbers have a ratio of 3 to 4, and their highest common factor (H.C.F) is 4. What is their least common multiple (L.C.M)?
16.Three numbers are in the ratio 1:2:3, and their highest common factor (H.C.F) is 12. What are the actual numbers?
17.The highest common factor (H.C.F) of 3240, 3600, and an unknown third number is 36, while their least common multiple (L.C.M) equals 24 × 35 × 52 × 72. What is the third number?
18.What is the greatest common divisor (GCD) of the numbers 1.08, 0.36, and 0.9?
19.What is the smallest common multiple of the numbers 24, 36, and 40?
20.What is the greatest common divisor of 36 and 84?