Select the option in which the two numbers share the same relationship

1.	Select the option in which the two numbers share the same relationship as that sheared by the given number-pair.256 : 321. 13 : 1692. 169 : 263. 144 : 164. 96 : 12
Answer» Correct Answer - Option 4 : 96 : 12 The logic follows here is: The G.C.F of the number (256, 32) is 32. So, When the highest number is divided by its H.C.F it equal to 8. 256 divided by 32 = 8 256 ÷ 32 = 8 Option 1 → 13 : 169 The H.C.F of the number (13, 169) is 13. 169 divided by 13 ≠ 8, which is not similar to our logic used. 169 ÷ 13 ≠ 8 13 ≠ 8 Option 2 → 169 : 26 The H.C.F of the number (169 : 26) is 13 169 divided by 13 ≠ 8, which is not similar to our logic used. 169 ÷ 13 ≠ 8 13 ≠ 8 Option 3 → 144 : 16 The H.C.F of the number (144 : 16) = 16 144 divided by 16 ≠ 8, which is not similar to our logic used. 144 ÷ 16 ≠ 8 9 ≠ 8 Similarly, The H.C.F of the number (96, 12) is 12. So, 96 divided by 12 = 8 96 ÷ 12 = 8 Hence, the correct answer is "96 : 12". The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainders. To find the HCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common. If there are no common prime factors, the HCF is 1.

Select the option in which the two numbers share the same relationship as that sheared by the given number-pair.256 : 321. 13 : 1692. 169 : 263. 144 : 164. 96 : 12

Answer» Correct Answer - Option 4 : 96 : 12

The logic follows here is:

The G.C.F of the number (256, 32) is 32.

So,

When the highest number is divided by its H.C.F it equal to 8.

256 divided by 32 = 8

256 ÷ 32 = 8

Option 1 → 13 : 169

The H.C.F of the number (13, 169) is 13.

169 divided by 13 ≠ 8, which is not similar to our logic used.

169 ÷ 13 ≠ 8

13 ≠ 8

Option 2 → 169 : 26

The H.C.F of the number (169 : 26) is 13

169 divided by 13 ≠ 8, which is not similar to our logic used.

169 ÷ 13 ≠ 8

13 ≠ 8

Option 3 → 144 : 16

The H.C.F of the number (144 : 16) = 16

144 divided by 16 ≠ 8, which is not similar to our logic used.

144 ÷ 16 ≠ 8

9 ≠ 8

Similarly,

The H.C.F of the number (96, 12) is 12.

So,

96 divided by 12 = 8

96 ÷ 12 = 8

Hence, the correct answer is "96 : 12".

The greatest common factor (GCF or GCD or HCF) of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainders.
To find the HCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common. If there are no common prime factors, the HCF is 1.