GCD of 920, 648, 495, 657 Calculator

Given Input numbers are 920, 648, 495, 657

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 920, 648, 495, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 648, 495, 657 is 1.

Therefore, GCD of numbers 920, 648, 495, 657 is 1

Given Input Data is 920, 648, 495, 657

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Prime Factorization of 657 is 3 x 3 x 73

The above numbers do not have any common prime factor. So GCD is 1

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(920, 648) = 74520

GCD(920, 648) = ( 920 x 648 ) / 74520

GCD(920, 648) = 596160 / 74520

GCD(920, 648) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 495

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

LCM(8, 495) = 3960

GCD(8, 495) = ( 8 x 495 ) / 3960

GCD(8, 495) = 3960 / 3960

GCD(8, 495) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 920, 648, 495, 657 is 1

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• GCD of 478, 870, 459, 511
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1. What is the GCD of 920, 648, 495, 657?

GCD of 920, 648, 495, 657 is 1

2. Where do I get the detailed procedure to find GCD of 920, 648, 495, 657?

You can find a detailed procedure to find GCD of 920, 648, 495, 657 on our page.

3. How to find GCD of 920, 648, 495, 657 on a calculator?

You can find the GCD of 920, 648, 495, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.