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GCD of 596, 332, 674, 196 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, 332, 674, 196 quickly. Get the easiest ways to solve the greatest common divisor of 596, 332, 674, 196 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 596, 332, 674, 196 with Factoring?

Given Input numbers are 596, 332, 674, 196

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 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196


GCD of numbers is the greatest common divisor

So, the GCD (596, 332, 674, 196) = 2.

Find GCD of 596, 332, 674, 196 using Prime Factorization

Given numbers are 596, 332, 674, 196

The list of prime factors of all numbers are

Prime factors of 596 are 2 x 2 x 149

Prime factors of 332 are 2 x 2 x 83

Prime factors of 674 are 2 x 337

Prime factors of 196 are 2 x 2 x 7 x 7

The highest common occurrence is 21

Therefore, GCD of 596, 332, 674, 196 is 2.

Steps to Calculate GCD of 596, 332, 674, 196 using LCM Formula

Given numbers are 596, 332, 674, 196

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

Apply this formula for all numbers.

Step1:

LCM(596, 332) = 49468

GCD(596, 332) = ( 596 x 332 ) / 49468

= 596 / 332

= 596


Step2:

LCM(4, 674) = 1348

GCD(4, 674) = ( 4 x 674 ) / 1348

= 4 / 674

= 4


Step3:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2


So, Greatest Common Divisor of 596, 332, 674, 196 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 596, 332, 674, 196

Given numbers are 596, 332, 674, 196
The greatest common divisor of numbers 596, 332, 674, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 596, 332, 674, 196 is 2.

FAQs on GCD of 596, 332, 674, 196 Calculator

1. What is the GCD of 596, 332, 674, 196?

GCD of given numbers 596, 332, 674, 196 is 2


2. How to calculate the greatest common divisor of 596, 332, 674, 196?

We can find the highest common divisor of 596, 332, 674, 196 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, 332, 674, 196 i.e 2.


3. How can I use the GCD of 596, 332, 674, 196Calculator?

Out the numbers 596, 332, 674, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.