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GCD of 682, 180, 716, 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 682, 180, 716, 981 quickly. Get the easiest ways to solve the greatest common divisor of 682, 180, 716, 981 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 682, 180, 716, 981 with Factoring?

Given Input numbers are 682, 180, 716, 981

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

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 (682, 180, 716, 981) = 1.

Find GCD of 682, 180, 716, 981 using Prime Factorization

Given numbers are 682, 180, 716, 981

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 716 are 2 x 2 x 179

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 682, 180, 716, 981 using LCM Formula

Given numbers are 682, 180, 716, 981

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

Apply this formula for all numbers.

Step1:

LCM(682, 180) = 61380

GCD(682, 180) = ( 682 x 180 ) / 61380

= 682 / 180

= 682


Step2:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2


Step3:

LCM(2, 981) = 1962

GCD(2, 981) = ( 2 x 981 ) / 1962

= 2 / 981

= 2


So, Greatest Common Divisor of 682, 180, 716, 981 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 682, 180, 716, 981

Given numbers are 682, 180, 716, 981
The greatest common divisor of numbers 682, 180, 716, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 180, 716, 981 is 1.

FAQs on GCD of 682, 180, 716, 981 Calculator

1. What is the GCD of 682, 180, 716, 981?

GCD of given numbers 682, 180, 716, 981 is 1


2. How to calculate the greatest common divisor of 682, 180, 716, 981?

We can find the highest common divisor of 682, 180, 716, 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 682, 180, 716, 981 i.e 1.


3. How can I use the GCD of 682, 180, 716, 981Calculator?

Out the numbers 682, 180, 716, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.