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GCD of 240, 689, 472, 721 Calculator

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


Online GCD Calculator is useful to find the GCD of 240, 689, 472, 721 quickly. Get the easiest ways to solve the greatest common divisor of 240, 689, 472, 721 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 240, 689, 472, 721 with Factoring?

Given Input numbers are 240, 689, 472, 721

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 721 :

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

1, 7, 103, 721


GCD of numbers is the greatest common divisor

So, the GCD (240, 689, 472, 721) = 1.

Find GCD of 240, 689, 472, 721 using Prime Factorization

Given numbers are 240, 689, 472, 721

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 689 are 13 x 53

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 721 are 7 x 103

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

Steps to Calculate GCD of 240, 689, 472, 721 using LCM Formula

Given numbers are 240, 689, 472, 721

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

Apply this formula for all numbers.

Step1:

LCM(240, 689) = 165360

GCD(240, 689) = ( 240 x 689 ) / 165360

= 240 / 689

= 240


Step2:

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

= 1 / 472

= 1


Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1


So, Greatest Common Divisor of 240, 689, 472, 721 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 240, 689, 472, 721

Given numbers are 240, 689, 472, 721
The greatest common divisor of numbers 240, 689, 472, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 689, 472, 721 is 1.

FAQs on GCD of 240, 689, 472, 721 Calculator

1. What is the GCD of 240, 689, 472, 721?

GCD of given numbers 240, 689, 472, 721 is 1


2. How to calculate the greatest common divisor of 240, 689, 472, 721?

We can find the highest common divisor of 240, 689, 472, 721 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 240, 689, 472, 721 i.e 1.


3. How can I use the GCD of 240, 689, 472, 721Calculator?

Out the numbers 240, 689, 472, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.