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GCD of 521, 240, 89 Calculator

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


Online GCD Calculator is useful to find the GCD of 521, 240, 89 quickly. Get the easiest ways to solve the greatest common divisor of 521, 240, 89 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 521, 240, 89 with Factoring?

Given Input numbers are 521, 240, 89

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

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

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 89 :

The positive integer divisors of 89 that completely divides 89 are.

1, 89


GCD of numbers is the greatest common divisor

So, the GCD (521, 240, 89) = 1.

Find GCD of 521, 240, 89 using Prime Factorization

Given numbers are 521, 240, 89

The list of prime factors of all numbers are

Prime factors of 521 are 521

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

Prime factors of 89 are 89

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

Steps to Calculate GCD of 521, 240, 89 using LCM Formula

Given numbers are 521, 240, 89

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

Apply this formula for all numbers.

Step1:

LCM(521, 240) = 125040

GCD(521, 240) = ( 521 x 240 ) / 125040

= 521 / 240

= 521


Step2:

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

= 1 / 89

= 1


So, Greatest Common Divisor of 521, 240, 89 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 521, 240, 89

Given numbers are 521, 240, 89
The greatest common divisor of numbers 521, 240, 89 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 521, 240, 89 is 1.

FAQs on GCD of 521, 240, 89 Calculator

1. What is the GCD of 521, 240, 89?

GCD of given numbers 521, 240, 89 is 1


2. How to calculate the greatest common divisor of 521, 240, 89?

We can find the highest common divisor of 521, 240, 89 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 521, 240, 89 i.e 1.


3. How can I use the GCD of 521, 240, 89Calculator?

Out the numbers 521, 240, 89 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.