GCD of 961, 857, 61, 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 961, 857, 61, 949 i.e. 1 largest integer that divides all the numbers equally.

GCD of 961, 857, 61, 949 is 1

GCD(961, 857, 61, 949) = 1

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

GCD of

GCD of numbers 961, 857, 61, 949 is 1

GCD(961, 857, 61, 949) = 1

GCD of 961,857,61,949 Calculator

GCDof 961,857,61,949 is 1

Given Input numbers are 961, 857, 61, 949

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

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

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 961, 857, 61, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 857, 61, 949 is 1.

Therefore, GCD of numbers 961, 857, 61, 949 is 1

Finding GCD of 961, 857, 61, 949 using Prime Factorization

Given Input Data is 961, 857, 61, 949

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

Prime Factorization of 961 is 31 x 31

Prime Factorization of 857 is 857

Prime Factorization of 61 is 61

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 961, 857, 61, 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(961, 857) = 823577

GCD(961, 857) = ( 961 x 857 ) / 823577

GCD(961, 857) = 823577 / 823577

GCD(961, 857) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 961, 857, 61, 949 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 961, 857, 61, 949

1. What is the GCD of 961, 857, 61, 949?

GCD of 961, 857, 61, 949 is 1


2. Where do I get the detailed procedure to find GCD of 961, 857, 61, 949?

You can find a detailed procedure to find GCD of 961, 857, 61, 949 on our page.


3. How to find GCD of 961, 857, 61, 949 on a calculator?

You can find the GCD of 961, 857, 61, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.