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GCD of 540, 653, 523, 989 Calculator

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


Online GCD Calculator is useful to find the GCD of 540, 653, 523, 989 quickly. Get the easiest ways to solve the greatest common divisor of 540, 653, 523, 989 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 540, 653, 523, 989 with Factoring?

Given Input numbers are 540, 653, 523, 989

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

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 653 :

The positive integer divisors of 653 that completely divides 653 are.

1, 653

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989


GCD of numbers is the greatest common divisor

So, the GCD (540, 653, 523, 989) = 1.

Find GCD of 540, 653, 523, 989 using Prime Factorization

Given numbers are 540, 653, 523, 989

The list of prime factors of all numbers are

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 653 are 653

Prime factors of 523 are 523

Prime factors of 989 are 23 x 43

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

Steps to Calculate GCD of 540, 653, 523, 989 using LCM Formula

Given numbers are 540, 653, 523, 989

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

Apply this formula for all numbers.

Step1:

LCM(540, 653) = 352620

GCD(540, 653) = ( 540 x 653 ) / 352620

= 540 / 653

= 540


Step2:

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

= 1 / 523

= 1


Step3:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1


So, Greatest Common Divisor of 540, 653, 523, 989 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 540, 653, 523, 989

Given numbers are 540, 653, 523, 989
The greatest common divisor of numbers 540, 653, 523, 989 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 653, 523, 989 is 1.

FAQs on GCD of 540, 653, 523, 989 Calculator

1. What is the GCD of 540, 653, 523, 989?

GCD of given numbers 540, 653, 523, 989 is 1


2. How to calculate the greatest common divisor of 540, 653, 523, 989?

We can find the highest common divisor of 540, 653, 523, 989 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 540, 653, 523, 989 i.e 1.


3. How can I use the GCD of 540, 653, 523, 989Calculator?

Out the numbers 540, 653, 523, 989 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.