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GCD of 980, 144, 113, 644 Calculator

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


Online GCD Calculator is useful to find the GCD of 980, 144, 113, 644 quickly. Get the easiest ways to solve the greatest common divisor of 980, 144, 113, 644 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 980, 144, 113, 644 with Factoring?

Given Input numbers are 980, 144, 113, 644

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

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644


GCD of numbers is the greatest common divisor

So, the GCD (980, 144, 113, 644) = 1.

Find GCD of 980, 144, 113, 644 using Prime Factorization

Given numbers are 980, 144, 113, 644

The list of prime factors of all numbers are

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 113 are 113

Prime factors of 644 are 2 x 2 x 7 x 23

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

Steps to Calculate GCD of 980, 144, 113, 644 using LCM Formula

Given numbers are 980, 144, 113, 644

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

Apply this formula for all numbers.

Step1:

LCM(980, 144) = 35280

GCD(980, 144) = ( 980 x 144 ) / 35280

= 980 / 144

= 980


Step2:

LCM(4, 113) = 452

GCD(4, 113) = ( 4 x 113 ) / 452

= 4 / 113

= 4


Step3:

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

= 1 / 644

= 1


So, Greatest Common Divisor of 980, 144, 113, 644 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 980, 144, 113, 644

Given numbers are 980, 144, 113, 644
The greatest common divisor of numbers 980, 144, 113, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 144, 113, 644 is 1.

FAQs on GCD of 980, 144, 113, 644 Calculator

1. What is the GCD of 980, 144, 113, 644?

GCD of given numbers 980, 144, 113, 644 is 1


2. How to calculate the greatest common divisor of 980, 144, 113, 644?

We can find the highest common divisor of 980, 144, 113, 644 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 980, 144, 113, 644 i.e 1.


3. How can I use the GCD of 980, 144, 113, 644Calculator?

Out the numbers 980, 144, 113, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.