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GCD of 989, 591, 682, 720 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, 591, 682, 720 quickly. Get the easiest ways to solve the greatest common divisor of 989, 591, 682, 720 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 989, 591, 682, 720 with Factoring?

Given Input numbers are 989, 591, 682, 720

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 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 682 :

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

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720


GCD of numbers is the greatest common divisor

So, the GCD (989, 591, 682, 720) = 1.

Find GCD of 989, 591, 682, 720 using Prime Factorization

Given numbers are 989, 591, 682, 720

The list of prime factors of all numbers are

Prime factors of 989 are 23 x 43

Prime factors of 591 are 3 x 197

Prime factors of 682 are 2 x 11 x 31

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Steps to Calculate GCD of 989, 591, 682, 720 using LCM Formula

Given numbers are 989, 591, 682, 720

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

Apply this formula for all numbers.

Step1:

LCM(989, 591) = 584499

GCD(989, 591) = ( 989 x 591 ) / 584499

= 989 / 591

= 989


Step2:

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

= 1 / 682

= 1


Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1


So, Greatest Common Divisor of 989, 591, 682, 720 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 989, 591, 682, 720

Given numbers are 989, 591, 682, 720
The greatest common divisor of numbers 989, 591, 682, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 591, 682, 720 is 1.

FAQs on GCD of 989, 591, 682, 720 Calculator

1. What is the GCD of 989, 591, 682, 720?

GCD of given numbers 989, 591, 682, 720 is 1


2. How to calculate the greatest common divisor of 989, 591, 682, 720?

We can find the highest common divisor of 989, 591, 682, 720 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, 591, 682, 720 i.e 1.


3. How can I use the GCD of 989, 591, 682, 720Calculator?

Out the numbers 989, 591, 682, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.