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GCD of 180, 493, 872, 956 Calculator

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


Online GCD Calculator is useful to find the GCD of 180, 493, 872, 956 quickly. Get the easiest ways to solve the greatest common divisor of 180, 493, 872, 956 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 493, 872, 956 with Factoring?

Given Input numbers are 180, 493, 872, 956

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

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 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956


GCD of numbers is the greatest common divisor

So, the GCD (180, 493, 872, 956) = 1.

Find GCD of 180, 493, 872, 956 using Prime Factorization

Given numbers are 180, 493, 872, 956

The list of prime factors of all numbers are

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

Prime factors of 493 are 17 x 29

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 956 are 2 x 2 x 239

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

Steps to Calculate GCD of 180, 493, 872, 956 using LCM Formula

Given numbers are 180, 493, 872, 956

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

Apply this formula for all numbers.

Step1:

LCM(180, 493) = 88740

GCD(180, 493) = ( 180 x 493 ) / 88740

= 180 / 493

= 180


Step2:

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

= 1 / 872

= 1


Step3:

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

= 1 / 956

= 1


So, Greatest Common Divisor of 180, 493, 872, 956 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 493, 872, 956

Given numbers are 180, 493, 872, 956
The greatest common divisor of numbers 180, 493, 872, 956 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 493, 872, 956 is 1.

FAQs on GCD of 180, 493, 872, 956 Calculator

1. What is the GCD of 180, 493, 872, 956?

GCD of given numbers 180, 493, 872, 956 is 1


2. How to calculate the greatest common divisor of 180, 493, 872, 956?

We can find the highest common divisor of 180, 493, 872, 956 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 180, 493, 872, 956 i.e 1.


3. How can I use the GCD of 180, 493, 872, 956Calculator?

Out the numbers 180, 493, 872, 956 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.