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GCD of 635, 980, 25 Calculator

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


Online GCD Calculator is useful to find the GCD of 635, 980, 25 quickly. Get the easiest ways to solve the greatest common divisor of 635, 980, 25 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 635, 980, 25 with Factoring?

Given Input numbers are 635, 980, 25

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

Divisors of 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 25 :

The positive integer divisors of 25 that completely divides 25 are.

1, 5, 25


GCD of numbers is the greatest common divisor

So, the GCD (635, 980, 25) = 5.

Find GCD of 635, 980, 25 using Prime Factorization

Given numbers are 635, 980, 25

The list of prime factors of all numbers are

Prime factors of 635 are 5 x 127

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 25 are 5 x 5

The highest common occurrence is 51

Therefore, GCD of 635, 980, 25 is 5.

Steps to Calculate GCD of 635, 980, 25 using LCM Formula

Given numbers are 635, 980, 25

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

Apply this formula for all numbers.

Step1:

LCM(635, 980) = 124460

GCD(635, 980) = ( 635 x 980 ) / 124460

= 635 / 980

= 635


Step2:

LCM(5, 25) = 25

GCD(5, 25) = ( 5 x 25 ) / 25

= 5 / 25

= 5


So, Greatest Common Divisor of 635, 980, 25 is 5

GCD of Numbers Calculation Examples

Greatest Common Divisor of 635, 980, 25

Given numbers are 635, 980, 25
The greatest common divisor of numbers 635, 980, 25 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 635, 980, 25 is 5.

FAQs on GCD of 635, 980, 25 Calculator

1. What is the GCD of 635, 980, 25?

GCD of given numbers 635, 980, 25 is 5


2. How to calculate the greatest common divisor of 635, 980, 25?

We can find the highest common divisor of 635, 980, 25 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 635, 980, 25 i.e 5.


3. How can I use the GCD of 635, 980, 25Calculator?

Out the numbers 635, 980, 25 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.