GCD of 297, 516, 632, 940 Calculator

Given Input numbers are 297, 516, 632, 940

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 297, 516, 632, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 516, 632, 940 is 1.

Therefore, GCD of numbers 297, 516, 632, 940 is 1

Given Input Data is 297, 516, 632, 940

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 940 is 2 x 2 x 5 x 47

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(297, 516) = 51084

GCD(297, 516) = ( 297 x 516 ) / 51084

GCD(297, 516) = 153252 / 51084

GCD(297, 516) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 632

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

LCM(3, 632) = 1896

GCD(3, 632) = ( 3 x 632 ) / 1896

GCD(3, 632) = 1896 / 1896

GCD(3, 632) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 1

GCD of 297, 516, 632, 940 is 1

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1. What is the GCD of 297, 516, 632, 940?

GCD of 297, 516, 632, 940 is 1

2. Where do I get the detailed procedure to find GCD of 297, 516, 632, 940?

You can find a detailed procedure to find GCD of 297, 516, 632, 940 on our page.

3. How to find GCD of 297, 516, 632, 940 on a calculator?

You can find the GCD of 297, 516, 632, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.