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GCD of 634, 116, 954, 580 Calculator

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


Online GCD Calculator is useful to find the GCD of 634, 116, 954, 580 quickly. Get the easiest ways to solve the greatest common divisor of 634, 116, 954, 580 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 634, 116, 954, 580 with Factoring?

Given Input numbers are 634, 116, 954, 580

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

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580


GCD of numbers is the greatest common divisor

So, the GCD (634, 116, 954, 580) = 2.

Find GCD of 634, 116, 954, 580 using Prime Factorization

Given numbers are 634, 116, 954, 580

The list of prime factors of all numbers are

Prime factors of 634 are 2 x 317

Prime factors of 116 are 2 x 2 x 29

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 580 are 2 x 2 x 5 x 29

The highest common occurrence is 21

Therefore, GCD of 634, 116, 954, 580 is 2.

Steps to Calculate GCD of 634, 116, 954, 580 using LCM Formula

Given numbers are 634, 116, 954, 580

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

Apply this formula for all numbers.

Step1:

LCM(634, 116) = 36772

GCD(634, 116) = ( 634 x 116 ) / 36772

= 634 / 116

= 634


Step2:

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

= 2 / 954

= 2


Step3:

LCM(2, 580) = 580

GCD(2, 580) = ( 2 x 580 ) / 580

= 2 / 580

= 2


So, Greatest Common Divisor of 634, 116, 954, 580 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 634, 116, 954, 580

Given numbers are 634, 116, 954, 580
The greatest common divisor of numbers 634, 116, 954, 580 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 634, 116, 954, 580 is 2.

FAQs on GCD of 634, 116, 954, 580 Calculator

1. What is the GCD of 634, 116, 954, 580?

GCD of given numbers 634, 116, 954, 580 is 2


2. How to calculate the greatest common divisor of 634, 116, 954, 580?

We can find the highest common divisor of 634, 116, 954, 580 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 634, 116, 954, 580 i.e 2.


3. How can I use the GCD of 634, 116, 954, 580Calculator?

Out the numbers 634, 116, 954, 580 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.