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GCD of 596, 424, 844, 172 Calculator

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


Online GCD Calculator is useful to find the GCD of 596, 424, 844, 172 quickly. Get the easiest ways to solve the greatest common divisor of 596, 424, 844, 172 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 596, 424, 844, 172 with Factoring?

Given Input numbers are 596, 424, 844, 172

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

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172


GCD of numbers is the greatest common divisor

So, the GCD (596, 424, 844, 172) = 4.

Find GCD of 596, 424, 844, 172 using Prime Factorization

Given numbers are 596, 424, 844, 172

The list of prime factors of all numbers are

Prime factors of 596 are 2 x 2 x 149

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 844 are 2 x 2 x 211

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 22

Therefore, GCD of 596, 424, 844, 172 is 4.

Steps to Calculate GCD of 596, 424, 844, 172 using LCM Formula

Given numbers are 596, 424, 844, 172

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

Apply this formula for all numbers.

Step1:

LCM(596, 424) = 63176

GCD(596, 424) = ( 596 x 424 ) / 63176

= 596 / 424

= 596


Step2:

LCM(4, 844) = 844

GCD(4, 844) = ( 4 x 844 ) / 844

= 4 / 844

= 4


Step3:

LCM(4, 172) = 172

GCD(4, 172) = ( 4 x 172 ) / 172

= 4 / 172

= 4


So, Greatest Common Divisor of 596, 424, 844, 172 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 596, 424, 844, 172

Given numbers are 596, 424, 844, 172
The greatest common divisor of numbers 596, 424, 844, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 596, 424, 844, 172 is 4.

FAQs on GCD of 596, 424, 844, 172 Calculator

1. What is the GCD of 596, 424, 844, 172?

GCD of given numbers 596, 424, 844, 172 is 4


2. How to calculate the greatest common divisor of 596, 424, 844, 172?

We can find the highest common divisor of 596, 424, 844, 172 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 596, 424, 844, 172 i.e 4.


3. How can I use the GCD of 596, 424, 844, 172Calculator?

Out the numbers 596, 424, 844, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.