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GCD of 994, 638, 952, 961 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 994, 638, 952, 961 quickly. Get the easiest ways to solve the greatest common divisor of 994, 638, 952, 961 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 994, 638, 952, 961 with Factoring?

Given Input numbers are 994, 638, 952, 961

In the factoring method, we have to find the divisors of all numbers

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

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

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961


GCD of numbers is the greatest common divisor

So, the GCD (994, 638, 952, 961) = 1.

Find GCD of 994, 638, 952, 961 using Prime Factorization

Given numbers are 994, 638, 952, 961

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 638 are 2 x 11 x 29

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 961 are 31 x 31

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

Steps to Calculate GCD of 994, 638, 952, 961 using LCM Formula

Given numbers are 994, 638, 952, 961

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(994, 638) = 317086

GCD(994, 638) = ( 994 x 638 ) / 317086

= 994 / 638

= 994


Step2:

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

= 2 / 952

= 2


Step3:

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

= 2 / 961

= 2


So, Greatest Common Divisor of 994, 638, 952, 961 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 994, 638, 952, 961

Given numbers are 994, 638, 952, 961
The greatest common divisor of numbers 994, 638, 952, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 638, 952, 961 is 1.

FAQs on GCD of 994, 638, 952, 961 Calculator

1. What is the GCD of 994, 638, 952, 961?

GCD of given numbers 994, 638, 952, 961 is 1


2. How to calculate the greatest common divisor of 994, 638, 952, 961?

We can find the highest common divisor of 994, 638, 952, 961 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 994, 638, 952, 961 i.e 1.


3. How can I use the GCD of 994, 638, 952, 961Calculator?

Out the numbers 994, 638, 952, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.