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GCD of 524, 654, 180, 423 Calculator

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


Online GCD Calculator is useful to find the GCD of 524, 654, 180, 423 quickly. Get the easiest ways to solve the greatest common divisor of 524, 654, 180, 423 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 524, 654, 180, 423 with Factoring?

Given Input numbers are 524, 654, 180, 423

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423


GCD of numbers is the greatest common divisor

So, the GCD (524, 654, 180, 423) = 1.

Find GCD of 524, 654, 180, 423 using Prime Factorization

Given numbers are 524, 654, 180, 423

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

Prime factors of 654 are 2 x 3 x 109

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 423 are 3 x 3 x 47

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

Steps to Calculate GCD of 524, 654, 180, 423 using LCM Formula

Given numbers are 524, 654, 180, 423

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

Apply this formula for all numbers.

Step1:

LCM(524, 654) = 171348

GCD(524, 654) = ( 524 x 654 ) / 171348

= 524 / 654

= 524


Step2:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2


Step3:

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

= 2 / 423

= 2


So, Greatest Common Divisor of 524, 654, 180, 423 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 524, 654, 180, 423

Given numbers are 524, 654, 180, 423
The greatest common divisor of numbers 524, 654, 180, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 654, 180, 423 is 1.

FAQs on GCD of 524, 654, 180, 423 Calculator

1. What is the GCD of 524, 654, 180, 423?

GCD of given numbers 524, 654, 180, 423 is 1


2. How to calculate the greatest common divisor of 524, 654, 180, 423?

We can find the highest common divisor of 524, 654, 180, 423 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 524, 654, 180, 423 i.e 1.


3. How can I use the GCD of 524, 654, 180, 423Calculator?

Out the numbers 524, 654, 180, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.