GCD of 49, 572, 771, 938 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 49, 572, 771, 938 i.e. 1 largest integer that divides all the numbers equally.

GCD of 49, 572, 771, 938 is 1

GCD(49, 572, 771, 938) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 49, 572, 771, 938 is 1

GCD(49, 572, 771, 938) = 1

GCD of 49,572,771,938 Calculator

GCDof 49,572,771,938 is 1

Given Input numbers are 49, 572, 771, 938

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 49, 572, 771, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 572, 771, 938 is 1.

Therefore, GCD of numbers 49, 572, 771, 938 is 1

Finding GCD of 49, 572, 771, 938 using Prime Factorization

Given Input Data is 49, 572, 771, 938

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 771 is 3 x 257

Prime Factorization of 938 is 2 x 7 x 67

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

Finding GCD of 49, 572, 771, 938 using LCM Formula

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(49, 572) = 28028

GCD(49, 572) = ( 49 x 572 ) / 28028

GCD(49, 572) = 28028 / 28028

GCD(49, 572) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 49, 572, 771, 938 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 49, 572, 771, 938

1. What is the GCD of 49, 572, 771, 938?

GCD of 49, 572, 771, 938 is 1


2. Where do I get the detailed procedure to find GCD of 49, 572, 771, 938?

You can find a detailed procedure to find GCD of 49, 572, 771, 938 on our page.


3. How to find GCD of 49, 572, 771, 938 on a calculator?

You can find the GCD of 49, 572, 771, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.