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GCD of 279, 438, 936, 375 Calculator

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


Online GCD Calculator is useful to find the GCD of 279, 438, 936, 375 quickly. Get the easiest ways to solve the greatest common divisor of 279, 438, 936, 375 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 279, 438, 936, 375 with Factoring?

Given Input numbers are 279, 438, 936, 375

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375


GCD of numbers is the greatest common divisor

So, the GCD (279, 438, 936, 375) = 3.

Find GCD of 279, 438, 936, 375 using Prime Factorization

Given numbers are 279, 438, 936, 375

The list of prime factors of all numbers are

Prime factors of 279 are 3 x 3 x 31

Prime factors of 438 are 2 x 3 x 73

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 375 are 3 x 5 x 5 x 5

The highest common occurrence is 31

Therefore, GCD of 279, 438, 936, 375 is 3.

Steps to Calculate GCD of 279, 438, 936, 375 using LCM Formula

Given numbers are 279, 438, 936, 375

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

Apply this formula for all numbers.

Step1:

LCM(279, 438) = 40734

GCD(279, 438) = ( 279 x 438 ) / 40734

= 279 / 438

= 279


Step2:

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

= 3 / 936

= 3


Step3:

LCM(3, 375) = 375

GCD(3, 375) = ( 3 x 375 ) / 375

= 3 / 375

= 3


So, Greatest Common Divisor of 279, 438, 936, 375 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 279, 438, 936, 375

Given numbers are 279, 438, 936, 375
The greatest common divisor of numbers 279, 438, 936, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 438, 936, 375 is 3.

FAQs on GCD of 279, 438, 936, 375 Calculator

1. What is the GCD of 279, 438, 936, 375?

GCD of given numbers 279, 438, 936, 375 is 3


2. How to calculate the greatest common divisor of 279, 438, 936, 375?

We can find the highest common divisor of 279, 438, 936, 375 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 279, 438, 936, 375 i.e 3.


3. How can I use the GCD of 279, 438, 936, 375Calculator?

Out the numbers 279, 438, 936, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.