GCD of 979, 638, 495, 264 Calculator

Given Input numbers are 979, 638, 495, 264

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

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

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

Greatest Common Divisior

We found the divisors of 979, 638, 495, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 638, 495, 264 is 11.

Therefore, GCD of numbers 979, 638, 495, 264 is 11

Given Input Data is 979, 638, 495, 264

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

Prime Factorization of 979 is 11 x 89

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 495 is 3 x 3 x 5 x 11

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

Highest common occurrences in the given inputs are 11¹

Multiplying them we get the GCD as 11

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(979, 638) = 56782

GCD(979, 638) = ( 979 x 638 ) / 56782

GCD(979, 638) = 624602 / 56782

GCD(979, 638) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 495

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

LCM(11, 495) = 495

GCD(11, 495) = ( 11 x 495 ) / 495

GCD(11, 495) = 5445 / 495

GCD(11, 495) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 264

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

LCM(11, 264) = 264

GCD(11, 264) = ( 11 x 264 ) / 264

GCD(11, 264) = 2904 / 264

GCD(11, 264) = 11

GCD of 979, 638, 495, 264 is 11

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1. What is the GCD of 979, 638, 495, 264?

GCD of 979, 638, 495, 264 is 11

2. Where do I get the detailed procedure to find GCD of 979, 638, 495, 264?

You can find a detailed procedure to find GCD of 979, 638, 495, 264 on our page.

3. How to find GCD of 979, 638, 495, 264 on a calculator?

You can find the GCD of 979, 638, 495, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.