GCD of 976, 397, 49, 952 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 976, 397, 49, 952 i.e. 1 largest integer that divides all the numbers equally.

GCD of 976, 397, 49, 952 is 1

GCD(976, 397, 49, 952) = 1

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

GCD of

GCD of numbers 976, 397, 49, 952 is 1

GCD(976, 397, 49, 952) = 1

GCD of 976,397,49,952 Calculator

GCDof 976,397,49,952 is 1

Given Input numbers are 976, 397, 49, 952

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 49

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

1, 7, 49

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 976, 397, 49, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 397, 49, 952 is 1.

Therefore, GCD of numbers 976, 397, 49, 952 is 1

Finding GCD of 976, 397, 49, 952 using Prime Factorization

Given Input Data is 976, 397, 49, 952

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 397 is 397

Prime Factorization of 49 is 7 x 7

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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

Finding GCD of 976, 397, 49, 952 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(976, 397) = 387472

GCD(976, 397) = ( 976 x 397 ) / 387472

GCD(976, 397) = 387472 / 387472

GCD(976, 397) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 952

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

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

GCD(1, 952) = 952 / 952

GCD(1, 952) = 1

GCD of 976, 397, 49, 952 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 976, 397, 49, 952

1. What is the GCD of 976, 397, 49, 952?

GCD of 976, 397, 49, 952 is 1


2. Where do I get the detailed procedure to find GCD of 976, 397, 49, 952?

You can find a detailed procedure to find GCD of 976, 397, 49, 952 on our page.


3. How to find GCD of 976, 397, 49, 952 on a calculator?

You can find the GCD of 976, 397, 49, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.