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GCD of 977, 721, 554, 998 Calculator

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


Online GCD Calculator is useful to find the GCD of 977, 721, 554, 998 quickly. Get the easiest ways to solve the greatest common divisor of 977, 721, 554, 998 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 977, 721, 554, 998 with Factoring?

Given Input numbers are 977, 721, 554, 998

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

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

Divisors of 998 :

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

1, 2, 499, 998


GCD of numbers is the greatest common divisor

So, the GCD (977, 721, 554, 998) = 1.

Find GCD of 977, 721, 554, 998 using Prime Factorization

Given numbers are 977, 721, 554, 998

The list of prime factors of all numbers are

Prime factors of 977 are 977

Prime factors of 721 are 7 x 103

Prime factors of 554 are 2 x 277

Prime factors of 998 are 2 x 499

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

Steps to Calculate GCD of 977, 721, 554, 998 using LCM Formula

Given numbers are 977, 721, 554, 998

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

Apply this formula for all numbers.

Step1:

LCM(977, 721) = 704417

GCD(977, 721) = ( 977 x 721 ) / 704417

= 977 / 721

= 977


Step2:

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

= 1 / 554

= 1


Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1


So, Greatest Common Divisor of 977, 721, 554, 998 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 977, 721, 554, 998

Given numbers are 977, 721, 554, 998
The greatest common divisor of numbers 977, 721, 554, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 721, 554, 998 is 1.

FAQs on GCD of 977, 721, 554, 998 Calculator

1. What is the GCD of 977, 721, 554, 998?

GCD of given numbers 977, 721, 554, 998 is 1


2. How to calculate the greatest common divisor of 977, 721, 554, 998?

We can find the highest common divisor of 977, 721, 554, 998 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 977, 721, 554, 998 i.e 1.


3. How can I use the GCD of 977, 721, 554, 998Calculator?

Out the numbers 977, 721, 554, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.