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GCD of 721, 427, 577, 364 Calculator

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


Online GCD Calculator is useful to find the GCD of 721, 427, 577, 364 quickly. Get the easiest ways to solve the greatest common divisor of 721, 427, 577, 364 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 721, 427, 577, 364 with Factoring?

Given Input numbers are 721, 427, 577, 364

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

Divisors of 721 :

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

1, 7, 103, 721

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364


GCD of numbers is the greatest common divisor

So, the GCD (721, 427, 577, 364) = 1.

Find GCD of 721, 427, 577, 364 using Prime Factorization

Given numbers are 721, 427, 577, 364

The list of prime factors of all numbers are

Prime factors of 721 are 7 x 103

Prime factors of 427 are 7 x 61

Prime factors of 577 are 577

Prime factors of 364 are 2 x 2 x 7 x 13

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

Steps to Calculate GCD of 721, 427, 577, 364 using LCM Formula

Given numbers are 721, 427, 577, 364

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

Apply this formula for all numbers.

Step1:

LCM(721, 427) = 43981

GCD(721, 427) = ( 721 x 427 ) / 43981

= 721 / 427

= 721


Step2:

LCM(7, 577) = 4039

GCD(7, 577) = ( 7 x 577 ) / 4039

= 7 / 577

= 7


Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1


So, Greatest Common Divisor of 721, 427, 577, 364 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 721, 427, 577, 364

Given numbers are 721, 427, 577, 364
The greatest common divisor of numbers 721, 427, 577, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 427, 577, 364 is 1.

FAQs on GCD of 721, 427, 577, 364 Calculator

1. What is the GCD of 721, 427, 577, 364?

GCD of given numbers 721, 427, 577, 364 is 1


2. How to calculate the greatest common divisor of 721, 427, 577, 364?

We can find the highest common divisor of 721, 427, 577, 364 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 721, 427, 577, 364 i.e 1.


3. How can I use the GCD of 721, 427, 577, 364Calculator?

Out the numbers 721, 427, 577, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.