GCD of 126, 108, 928, 608 Calculator

Given Input numbers are 126, 108, 928, 608

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 126, 108, 928, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 108, 928, 608 is 2.

Therefore, GCD of numbers 126, 108, 928, 608 is 2

Given Input Data is 126, 108, 928, 608

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

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(126, 108) = 756

GCD(126, 108) = ( 126 x 108 ) / 756

GCD(126, 108) = 13608 / 756

GCD(126, 108) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 928

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

LCM(18, 928) = 8352

GCD(18, 928) = ( 18 x 928 ) / 8352

GCD(18, 928) = 16704 / 8352

GCD(18, 928) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 608

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

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

GCD(2, 608) = 1216 / 608

GCD(2, 608) = 2

GCD of 126, 108, 928, 608 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 437, 894, 859
• GCD of 331, 303, 784, 874
• GCD of 824, 747, 173, 405
• GCD of 173, 771, 233, 957
• GCD of 262, 507, 282, 855

1. What is the GCD of 126, 108, 928, 608?

GCD of 126, 108, 928, 608 is 2

2. Where do I get the detailed procedure to find GCD of 126, 108, 928, 608?

You can find a detailed procedure to find GCD of 126, 108, 928, 608 on our page.

3. How to find GCD of 126, 108, 928, 608 on a calculator?

You can find the GCD of 126, 108, 928, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.