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GCD of 721, 838, 977, 441 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, 838, 977, 441 quickly. Get the easiest ways to solve the greatest common divisor of 721, 838, 977, 441 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 721, 838, 977, 441 with Factoring?

Given Input numbers are 721, 838, 977, 441

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 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 977 :

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

1, 977

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441


GCD of numbers is the greatest common divisor

So, the GCD (721, 838, 977, 441) = 1.

Find GCD of 721, 838, 977, 441 using Prime Factorization

Given numbers are 721, 838, 977, 441

The list of prime factors of all numbers are

Prime factors of 721 are 7 x 103

Prime factors of 838 are 2 x 419

Prime factors of 977 are 977

Prime factors of 441 are 3 x 3 x 7 x 7

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

Steps to Calculate GCD of 721, 838, 977, 441 using LCM Formula

Given numbers are 721, 838, 977, 441

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

Apply this formula for all numbers.

Step1:

LCM(721, 838) = 604198

GCD(721, 838) = ( 721 x 838 ) / 604198

= 721 / 838

= 721


Step2:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1


Step3:

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

= 1 / 441

= 1


So, Greatest Common Divisor of 721, 838, 977, 441 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 721, 838, 977, 441

Given numbers are 721, 838, 977, 441
The greatest common divisor of numbers 721, 838, 977, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 838, 977, 441 is 1.

FAQs on GCD of 721, 838, 977, 441 Calculator

1. What is the GCD of 721, 838, 977, 441?

GCD of given numbers 721, 838, 977, 441 is 1


2. How to calculate the greatest common divisor of 721, 838, 977, 441?

We can find the highest common divisor of 721, 838, 977, 441 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, 838, 977, 441 i.e 1.


3. How can I use the GCD of 721, 838, 977, 441Calculator?

Out the numbers 721, 838, 977, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.