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GCD of 989, 122, 580, 509 Calculator

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


Online GCD Calculator is useful to find the GCD of 989, 122, 580, 509 quickly. Get the easiest ways to solve the greatest common divisor of 989, 122, 580, 509 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 989, 122, 580, 509 with Factoring?

Given Input numbers are 989, 122, 580, 509

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

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509


GCD of numbers is the greatest common divisor

So, the GCD (989, 122, 580, 509) = 1.

Find GCD of 989, 122, 580, 509 using Prime Factorization

Given numbers are 989, 122, 580, 509

The list of prime factors of all numbers are

Prime factors of 989 are 23 x 43

Prime factors of 122 are 2 x 61

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 509 are 509

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

Steps to Calculate GCD of 989, 122, 580, 509 using LCM Formula

Given numbers are 989, 122, 580, 509

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

Apply this formula for all numbers.

Step1:

LCM(989, 122) = 120658

GCD(989, 122) = ( 989 x 122 ) / 120658

= 989 / 122

= 989


Step2:

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

= 1 / 580

= 1


Step3:

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

= 1 / 509

= 1


So, Greatest Common Divisor of 989, 122, 580, 509 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 989, 122, 580, 509

Given numbers are 989, 122, 580, 509
The greatest common divisor of numbers 989, 122, 580, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 122, 580, 509 is 1.

FAQs on GCD of 989, 122, 580, 509 Calculator

1. What is the GCD of 989, 122, 580, 509?

GCD of given numbers 989, 122, 580, 509 is 1


2. How to calculate the greatest common divisor of 989, 122, 580, 509?

We can find the highest common divisor of 989, 122, 580, 509 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 989, 122, 580, 509 i.e 1.


3. How can I use the GCD of 989, 122, 580, 509Calculator?

Out the numbers 989, 122, 580, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.