GCD of 168, 656, 264, 738 Calculator

Given Input numbers are 168, 656, 264, 738

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 168, 656, 264, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 656, 264, 738 is 2.

Therefore, GCD of numbers 168, 656, 264, 738 is 2

Given Input Data is 168, 656, 264, 738

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 738 is 2 x 3 x 3 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(168, 656) = 13776

GCD(168, 656) = ( 168 x 656 ) / 13776

GCD(168, 656) = 110208 / 13776

GCD(168, 656) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 264

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(8, 264) = 264

GCD(8, 264) = ( 8 x 264 ) / 264

GCD(8, 264) = 2112 / 264

GCD(8, 264) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 738

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(8, 738) = 2952

GCD(8, 738) = ( 8 x 738 ) / 2952

GCD(8, 738) = 5904 / 2952

GCD(8, 738) = 2

GCD of 168, 656, 264, 738 is 2

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1. What is the GCD of 168, 656, 264, 738?

GCD of 168, 656, 264, 738 is 2

2. Where do I get the detailed procedure to find GCD of 168, 656, 264, 738?

You can find a detailed procedure to find GCD of 168, 656, 264, 738 on our page.

3. How to find GCD of 168, 656, 264, 738 on a calculator?

You can find the GCD of 168, 656, 264, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.