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GCD of 972, 452, 750, 184 Calculator

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


Online GCD Calculator is useful to find the GCD of 972, 452, 750, 184 quickly. Get the easiest ways to solve the greatest common divisor of 972, 452, 750, 184 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 972, 452, 750, 184 with Factoring?

Given Input numbers are 972, 452, 750, 184

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184


GCD of numbers is the greatest common divisor

So, the GCD (972, 452, 750, 184) = 2.

Find GCD of 972, 452, 750, 184 using Prime Factorization

Given numbers are 972, 452, 750, 184

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 452 are 2 x 2 x 113

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 184 are 2 x 2 x 2 x 23

The highest common occurrence is 21

Therefore, GCD of 972, 452, 750, 184 is 2.

Steps to Calculate GCD of 972, 452, 750, 184 using LCM Formula

Given numbers are 972, 452, 750, 184

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

Apply this formula for all numbers.

Step1:

LCM(972, 452) = 109836

GCD(972, 452) = ( 972 x 452 ) / 109836

= 972 / 452

= 972


Step2:

LCM(4, 750) = 1500

GCD(4, 750) = ( 4 x 750 ) / 1500

= 4 / 750

= 4


Step3:

LCM(2, 184) = 184

GCD(2, 184) = ( 2 x 184 ) / 184

= 2 / 184

= 2


So, Greatest Common Divisor of 972, 452, 750, 184 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 972, 452, 750, 184

Given numbers are 972, 452, 750, 184
The greatest common divisor of numbers 972, 452, 750, 184 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 452, 750, 184 is 2.

FAQs on GCD of 972, 452, 750, 184 Calculator

1. What is the GCD of 972, 452, 750, 184?

GCD of given numbers 972, 452, 750, 184 is 2


2. How to calculate the greatest common divisor of 972, 452, 750, 184?

We can find the highest common divisor of 972, 452, 750, 184 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 972, 452, 750, 184 i.e 2.


3. How can I use the GCD of 972, 452, 750, 184Calculator?

Out the numbers 972, 452, 750, 184 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.