GCD of 952, 844, 78, 949 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 952, 844, 78, 949 i.e. 1 largest integer that divides all the numbers equally.

GCD of 952, 844, 78, 949 is 1

GCD(952, 844, 78, 949) = 1

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

GCD of

GCD of numbers 952, 844, 78, 949 is 1

GCD(952, 844, 78, 949) = 1

GCD of 952,844,78,949 Calculator

GCDof 952,844,78,949 is 1

Given Input numbers are 952, 844, 78, 949

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

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

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 952, 844, 78, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 844, 78, 949 is 1.

Therefore, GCD of numbers 952, 844, 78, 949 is 1

Finding GCD of 952, 844, 78, 949 using Prime Factorization

Given Input Data is 952, 844, 78, 949

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

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

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 949 is 13 x 73

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

Finding GCD of 952, 844, 78, 949 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(952, 844) = 200872

GCD(952, 844) = ( 952 x 844 ) / 200872

GCD(952, 844) = 803488 / 200872

GCD(952, 844) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 949

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

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

GCD(2, 949) = 1898 / 1898

GCD(2, 949) = 1

GCD of 952, 844, 78, 949 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 952, 844, 78, 949

1. What is the GCD of 952, 844, 78, 949?

GCD of 952, 844, 78, 949 is 1


2. Where do I get the detailed procedure to find GCD of 952, 844, 78, 949?

You can find a detailed procedure to find GCD of 952, 844, 78, 949 on our page.


3. How to find GCD of 952, 844, 78, 949 on a calculator?

You can find the GCD of 952, 844, 78, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.