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GCD of 174, 756, 372 Calculator

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


Online GCD Calculator is useful to find the GCD of 174, 756, 372 quickly. Get the easiest ways to solve the greatest common divisor of 174, 756, 372 i.e 6 in different methods as follows.

GCD of

How to Find GCD of Numbers 174, 756, 372 with Factoring?

Given Input numbers are 174, 756, 372

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372


GCD of numbers is the greatest common divisor

So, the GCD (174, 756, 372) = 6.

Find GCD of 174, 756, 372 using Prime Factorization

Given numbers are 174, 756, 372

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 372 are 2 x 2 x 3 x 31

The highest common occurrence is 21 x 31

Therefore, GCD of 174, 756, 372 is 6.

Steps to Calculate GCD of 174, 756, 372 using LCM Formula

Given numbers are 174, 756, 372

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

Apply this formula for all numbers.

Step1:

LCM(174, 756) = 21924

GCD(174, 756) = ( 174 x 756 ) / 21924

= 174 / 756

= 174


Step2:

LCM(6, 372) = 372

GCD(6, 372) = ( 6 x 372 ) / 372

= 6 / 372

= 6


So, Greatest Common Divisor of 174, 756, 372 is 6

GCD of Numbers Calculation Examples

Greatest Common Divisor of 174, 756, 372

Given numbers are 174, 756, 372
The greatest common divisor of numbers 174, 756, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 756, 372 is 6.

FAQs on GCD of 174, 756, 372 Calculator

1. What is the GCD of 174, 756, 372?

GCD of given numbers 174, 756, 372 is 6


2. How to calculate the greatest common divisor of 174, 756, 372?

We can find the highest common divisor of 174, 756, 372 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 174, 756, 372 i.e 6.


3. How can I use the GCD of 174, 756, 372Calculator?

Out the numbers 174, 756, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.