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GCD of 691, 980, 209, 981 Calculator

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


Online GCD Calculator is useful to find the GCD of 691, 980, 209, 981 quickly. Get the easiest ways to solve the greatest common divisor of 691, 980, 209, 981 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 691, 980, 209, 981 with Factoring?

Given Input numbers are 691, 980, 209, 981

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

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

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 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981


GCD of numbers is the greatest common divisor

So, the GCD (691, 980, 209, 981) = 1.

Find GCD of 691, 980, 209, 981 using Prime Factorization

Given numbers are 691, 980, 209, 981

The list of prime factors of all numbers are

Prime factors of 691 are 691

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

Prime factors of 209 are 11 x 19

Prime factors of 981 are 3 x 3 x 109

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

Steps to Calculate GCD of 691, 980, 209, 981 using LCM Formula

Given numbers are 691, 980, 209, 981

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

Apply this formula for all numbers.

Step1:

LCM(691, 980) = 677180

GCD(691, 980) = ( 691 x 980 ) / 677180

= 691 / 980

= 691


Step2:

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

= 1 / 209

= 1


Step3:

LCM(1, 981) = 981

GCD(1, 981) = ( 1 x 981 ) / 981

= 1 / 981

= 1


So, Greatest Common Divisor of 691, 980, 209, 981 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 691, 980, 209, 981

Given numbers are 691, 980, 209, 981
The greatest common divisor of numbers 691, 980, 209, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 691, 980, 209, 981 is 1.

FAQs on GCD of 691, 980, 209, 981 Calculator

1. What is the GCD of 691, 980, 209, 981?

GCD of given numbers 691, 980, 209, 981 is 1


2. How to calculate the greatest common divisor of 691, 980, 209, 981?

We can find the highest common divisor of 691, 980, 209, 981 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 691, 980, 209, 981 i.e 1.


3. How can I use the GCD of 691, 980, 209, 981Calculator?

Out the numbers 691, 980, 209, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.