GCD of 57, 936, 103, 742 Calculator

Given Input numbers are 57, 936, 103, 742

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 57, 936, 103, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 936, 103, 742 is 1.

Therefore, GCD of numbers 57, 936, 103, 742 is 1

Given Input Data is 57, 936, 103, 742

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

Prime Factorization of 57 is 3 x 19

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

Prime Factorization of 103 is 103

Prime Factorization of 742 is 2 x 7 x 53

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(57, 936) = 17784

GCD(57, 936) = ( 57 x 936 ) / 17784

GCD(57, 936) = 53352 / 17784

GCD(57, 936) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 103

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

LCM(3, 103) = 309

GCD(3, 103) = ( 3 x 103 ) / 309

GCD(3, 103) = 309 / 309

GCD(3, 103) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 57, 936, 103, 742 is 1

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• GCD of 89, 119, 476, 800

1. What is the GCD of 57, 936, 103, 742?

GCD of 57, 936, 103, 742 is 1

2. Where do I get the detailed procedure to find GCD of 57, 936, 103, 742?

You can find a detailed procedure to find GCD of 57, 936, 103, 742 on our page.

3. How to find GCD of 57, 936, 103, 742 on a calculator?

You can find the GCD of 57, 936, 103, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.