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GCD of 180, 936, 907, 234 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, 936, 907, 234 quickly. Get the easiest ways to solve the greatest common divisor of 180, 936, 907, 234 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 936, 907, 234 with Factoring?

Given Input numbers are 180, 936, 907, 234

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 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 907 :

The positive integer divisors of 907 that completely divides 907 are.

1, 907

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234


GCD of numbers is the greatest common divisor

So, the GCD (180, 936, 907, 234) = 1.

Find GCD of 180, 936, 907, 234 using Prime Factorization

Given numbers are 180, 936, 907, 234

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 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 907 are 907

Prime factors of 234 are 2 x 3 x 3 x 13

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

Steps to Calculate GCD of 180, 936, 907, 234 using LCM Formula

Given numbers are 180, 936, 907, 234

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

Apply this formula for all numbers.

Step1:

LCM(180, 936) = 4680

GCD(180, 936) = ( 180 x 936 ) / 4680

= 180 / 936

= 180


Step2:

LCM(36, 907) = 32652

GCD(36, 907) = ( 36 x 907 ) / 32652

= 36 / 907

= 36


Step3:

LCM(1, 234) = 234

GCD(1, 234) = ( 1 x 234 ) / 234

= 1 / 234

= 1


So, Greatest Common Divisor of 180, 936, 907, 234 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 936, 907, 234

Given numbers are 180, 936, 907, 234
The greatest common divisor of numbers 180, 936, 907, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 936, 907, 234 is 1.

FAQs on GCD of 180, 936, 907, 234 Calculator

1. What is the GCD of 180, 936, 907, 234?

GCD of given numbers 180, 936, 907, 234 is 1


2. How to calculate the greatest common divisor of 180, 936, 907, 234?

We can find the highest common divisor of 180, 936, 907, 234 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, 936, 907, 234 i.e 1.


3. How can I use the GCD of 180, 936, 907, 234Calculator?

Out the numbers 180, 936, 907, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.