GCD of 472, 937, 575, 748 Calculator

Given Input numbers are 472, 937, 575, 748

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 937

List of positive integer divisors of 937 that divides 937 without a remainder.

1, 937

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 472, 937, 575, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 937, 575, 748 is 1.

Therefore, GCD of numbers 472, 937, 575, 748 is 1

Given Input Data is 472, 937, 575, 748

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 937 is 937

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 748 is 2 x 2 x 11 x 17

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(472, 937) = 442264

GCD(472, 937) = ( 472 x 937 ) / 442264

GCD(472, 937) = 442264 / 442264

GCD(472, 937) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 575

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

LCM(1, 575) = 575

GCD(1, 575) = ( 1 x 575 ) / 575

GCD(1, 575) = 575 / 575

GCD(1, 575) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 472, 937, 575, 748 is 1

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1. What is the GCD of 472, 937, 575, 748?

GCD of 472, 937, 575, 748 is 1

2. Where do I get the detailed procedure to find GCD of 472, 937, 575, 748?

You can find a detailed procedure to find GCD of 472, 937, 575, 748 on our page.

3. How to find GCD of 472, 937, 575, 748 on a calculator?

You can find the GCD of 472, 937, 575, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.