GCD of 936, 532, 560, 667 Calculator

Given Input numbers are 936, 532, 560, 667

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

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 936, 532, 560, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 532, 560, 667 is 1.

Therefore, GCD of numbers 936, 532, 560, 667 is 1

Given Input Data is 936, 532, 560, 667

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

Prime Factorization of 667 is 23 x 29

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(936, 532) = 124488

GCD(936, 532) = ( 936 x 532 ) / 124488

GCD(936, 532) = 497952 / 124488

GCD(936, 532) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 560

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

LCM(4, 560) = 560

GCD(4, 560) = ( 4 x 560 ) / 560

GCD(4, 560) = 2240 / 560

GCD(4, 560) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 667

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

LCM(4, 667) = 2668

GCD(4, 667) = ( 4 x 667 ) / 2668

GCD(4, 667) = 2668 / 2668

GCD(4, 667) = 1

GCD of 936, 532, 560, 667 is 1

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1. What is the GCD of 936, 532, 560, 667?

GCD of 936, 532, 560, 667 is 1

2. Where do I get the detailed procedure to find GCD of 936, 532, 560, 667?

You can find a detailed procedure to find GCD of 936, 532, 560, 667 on our page.

3. How to find GCD of 936, 532, 560, 667 on a calculator?

You can find the GCD of 936, 532, 560, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.