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GCD of 998, 321, 908, 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 998, 321, 908, 720 quickly. Get the easiest ways to solve the greatest common divisor of 998, 321, 908, 720 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 998, 321, 908, 720 with Factoring?

Given Input numbers are 998, 321, 908, 720

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

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 (998, 321, 908, 720) = 1.

Find GCD of 998, 321, 908, 720 using Prime Factorization

Given numbers are 998, 321, 908, 720

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 321 are 3 x 107

Prime factors of 908 are 2 x 2 x 227

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 998, 321, 908, 720 using LCM Formula

Given numbers are 998, 321, 908, 720

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

Apply this formula for all numbers.

Step1:

LCM(998, 321) = 320358

GCD(998, 321) = ( 998 x 321 ) / 320358

= 998 / 321

= 998


Step2:

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

= 1 / 908

= 1


Step3:

LCM(1, 720) = 720

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

= 1 / 720

= 1


So, Greatest Common Divisor of 998, 321, 908, 720 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 998, 321, 908, 720

Given numbers are 998, 321, 908, 720
The greatest common divisor of numbers 998, 321, 908, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 321, 908, 720 is 1.

FAQs on GCD of 998, 321, 908, 720 Calculator

1. What is the GCD of 998, 321, 908, 720?

GCD of given numbers 998, 321, 908, 720 is 1


2. How to calculate the greatest common divisor of 998, 321, 908, 720?

We can find the highest common divisor of 998, 321, 908, 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 998, 321, 908, 720 i.e 1.


3. How can I use the GCD of 998, 321, 908, 720Calculator?

Out the numbers 998, 321, 908, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.