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GCD of 980, 689, 837, 506 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, 689, 837, 506 quickly. Get the easiest ways to solve the greatest common divisor of 980, 689, 837, 506 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 980, 689, 837, 506 with Factoring?

Given Input numbers are 980, 689, 837, 506

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 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 837 :

The positive integer divisors of 837 that completely divides 837 are.

1, 3, 9, 27, 31, 93, 279, 837

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506


GCD of numbers is the greatest common divisor

So, the GCD (980, 689, 837, 506) = 1.

Find GCD of 980, 689, 837, 506 using Prime Factorization

Given numbers are 980, 689, 837, 506

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 689 are 13 x 53

Prime factors of 837 are 3 x 3 x 3 x 31

Prime factors of 506 are 2 x 11 x 23

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

Steps to Calculate GCD of 980, 689, 837, 506 using LCM Formula

Given numbers are 980, 689, 837, 506

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

Apply this formula for all numbers.

Step1:

LCM(980, 689) = 675220

GCD(980, 689) = ( 980 x 689 ) / 675220

= 980 / 689

= 980


Step2:

LCM(1, 837) = 837

GCD(1, 837) = ( 1 x 837 ) / 837

= 1 / 837

= 1


Step3:

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

= 1 / 506

= 1


So, Greatest Common Divisor of 980, 689, 837, 506 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 980, 689, 837, 506

Given numbers are 980, 689, 837, 506
The greatest common divisor of numbers 980, 689, 837, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 689, 837, 506 is 1.

FAQs on GCD of 980, 689, 837, 506 Calculator

1. What is the GCD of 980, 689, 837, 506?

GCD of given numbers 980, 689, 837, 506 is 1


2. How to calculate the greatest common divisor of 980, 689, 837, 506?

We can find the highest common divisor of 980, 689, 837, 506 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, 689, 837, 506 i.e 1.


3. How can I use the GCD of 980, 689, 837, 506Calculator?

Out the numbers 980, 689, 837, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.