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GCD of 721, 840, 539 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, 840, 539 quickly. Get the easiest ways to solve the greatest common divisor of 721, 840, 539 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 721, 840, 539 with Factoring?

Given Input numbers are 721, 840, 539

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 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 539 :

The positive integer divisors of 539 that completely divides 539 are.

1, 7, 11, 49, 77, 539


GCD of numbers is the greatest common divisor

So, the GCD (721, 840, 539) = 7.

Find GCD of 721, 840, 539 using Prime Factorization

Given numbers are 721, 840, 539

The list of prime factors of all numbers are

Prime factors of 721 are 7 x 103

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 539 are 7 x 7 x 11

The highest common occurrence is 71

Therefore, GCD of 721, 840, 539 is 7.

Steps to Calculate GCD of 721, 840, 539 using LCM Formula

Given numbers are 721, 840, 539

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

Apply this formula for all numbers.

Step1:

LCM(721, 840) = 86520

GCD(721, 840) = ( 721 x 840 ) / 86520

= 721 / 840

= 721


Step2:

LCM(7, 539) = 539

GCD(7, 539) = ( 7 x 539 ) / 539

= 7 / 539

= 7


So, Greatest Common Divisor of 721, 840, 539 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 721, 840, 539

Given numbers are 721, 840, 539
The greatest common divisor of numbers 721, 840, 539 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 721, 840, 539 is 7.

FAQs on GCD of 721, 840, 539 Calculator

1. What is the GCD of 721, 840, 539?

GCD of given numbers 721, 840, 539 is 7


2. How to calculate the greatest common divisor of 721, 840, 539?

We can find the highest common divisor of 721, 840, 539 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, 840, 539 i.e 7.


3. How can I use the GCD of 721, 840, 539Calculator?

Out the numbers 721, 840, 539 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.