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GCD of 721, 763, 357 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, 763, 357 quickly. Get the easiest ways to solve the greatest common divisor of 721, 763, 357 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 721, 763, 357 with Factoring?

Given Input numbers are 721, 763, 357

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 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357


GCD of numbers is the greatest common divisor

So, the GCD (721, 763, 357) = 7.

Find GCD of 721, 763, 357 using Prime Factorization

Given numbers are 721, 763, 357

The list of prime factors of all numbers are

Prime factors of 721 are 7 x 103

Prime factors of 763 are 7 x 109

Prime factors of 357 are 3 x 7 x 17

The highest common occurrence is 71

Therefore, GCD of 721, 763, 357 is 7.

Steps to Calculate GCD of 721, 763, 357 using LCM Formula

Given numbers are 721, 763, 357

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

Apply this formula for all numbers.

Step1:

LCM(721, 763) = 78589

GCD(721, 763) = ( 721 x 763 ) / 78589

= 721 / 763

= 721


Step2:

LCM(7, 357) = 357

GCD(7, 357) = ( 7 x 357 ) / 357

= 7 / 357

= 7


So, Greatest Common Divisor of 721, 763, 357 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 721, 763, 357

Given numbers are 721, 763, 357
The greatest common divisor of numbers 721, 763, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 763, 357 is 7.

FAQs on GCD of 721, 763, 357 Calculator

1. What is the GCD of 721, 763, 357?

GCD of given numbers 721, 763, 357 is 7


2. How to calculate the greatest common divisor of 721, 763, 357?

We can find the highest common divisor of 721, 763, 357 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, 763, 357 i.e 7.


3. How can I use the GCD of 721, 763, 357Calculator?

Out the numbers 721, 763, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.