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GCD of 321, 749, 426, 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 321, 749, 426, 980 quickly. Get the easiest ways to solve the greatest common divisor of 321, 749, 426, 980 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 321, 749, 426, 980 with Factoring?

Given Input numbers are 321, 749, 426, 980

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

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

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 (321, 749, 426, 980) = 1.

Find GCD of 321, 749, 426, 980 using Prime Factorization

Given numbers are 321, 749, 426, 980

The list of prime factors of all numbers are

Prime factors of 321 are 3 x 107

Prime factors of 749 are 7 x 107

Prime factors of 426 are 2 x 3 x 71

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 321, 749, 426, 980 using LCM Formula

Given numbers are 321, 749, 426, 980

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

Apply this formula for all numbers.

Step1:

LCM(321, 749) = 2247

GCD(321, 749) = ( 321 x 749 ) / 2247

= 321 / 749

= 321


Step2:

LCM(107, 426) = 45582

GCD(107, 426) = ( 107 x 426 ) / 45582

= 107 / 426

= 107


Step3:

LCM(1, 980) = 980

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

= 1 / 980

= 1


So, Greatest Common Divisor of 321, 749, 426, 980 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 321, 749, 426, 980

Given numbers are 321, 749, 426, 980
The greatest common divisor of numbers 321, 749, 426, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 749, 426, 980 is 1.

FAQs on GCD of 321, 749, 426, 980 Calculator

1. What is the GCD of 321, 749, 426, 980?

GCD of given numbers 321, 749, 426, 980 is 1


2. How to calculate the greatest common divisor of 321, 749, 426, 980?

We can find the highest common divisor of 321, 749, 426, 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 321, 749, 426, 980 i.e 1.


3. How can I use the GCD of 321, 749, 426, 980Calculator?

Out the numbers 321, 749, 426, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.