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GCD of 753, 131, 817, 980 Calculator

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


Online GCD Calculator is useful to find the GCD of 753, 131, 817, 980 quickly. Get the easiest ways to solve the greatest common divisor of 753, 131, 817, 980 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 753, 131, 817, 980 with Factoring?

Given Input numbers are 753, 131, 817, 980

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 817 :

The positive integer divisors of 817 that completely divides 817 are.

1, 19, 43, 817

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


GCD of numbers is the greatest common divisor

So, the GCD (753, 131, 817, 980) = 1.

Find GCD of 753, 131, 817, 980 using Prime Factorization

Given numbers are 753, 131, 817, 980

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 131 are 131

Prime factors of 817 are 19 x 43

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

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

Steps to Calculate GCD of 753, 131, 817, 980 using LCM Formula

Given numbers are 753, 131, 817, 980

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

Apply this formula for all numbers.

Step1:

LCM(753, 131) = 98643

GCD(753, 131) = ( 753 x 131 ) / 98643

= 753 / 131

= 753


Step2:

LCM(1, 817) = 817

GCD(1, 817) = ( 1 x 817 ) / 817

= 1 / 817

= 1


Step3:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1


So, Greatest Common Divisor of 753, 131, 817, 980 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 753, 131, 817, 980

Given numbers are 753, 131, 817, 980
The greatest common divisor of numbers 753, 131, 817, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 131, 817, 980 is 1.

FAQs on GCD of 753, 131, 817, 980 Calculator

1. What is the GCD of 753, 131, 817, 980?

GCD of given numbers 753, 131, 817, 980 is 1


2. How to calculate the greatest common divisor of 753, 131, 817, 980?

We can find the highest common divisor of 753, 131, 817, 980 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 753, 131, 817, 980 i.e 1.


3. How can I use the GCD of 753, 131, 817, 980Calculator?

Out the numbers 753, 131, 817, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.