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GCD of 600, 294, 394, 792 Calculator

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


Online GCD Calculator is useful to find the GCD of 600, 294, 394, 792 quickly. Get the easiest ways to solve the greatest common divisor of 600, 294, 394, 792 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 294, 394, 792 with Factoring?

Given Input numbers are 600, 294, 394, 792

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792


GCD of numbers is the greatest common divisor

So, the GCD (600, 294, 394, 792) = 2.

Find GCD of 600, 294, 394, 792 using Prime Factorization

Given numbers are 600, 294, 394, 792

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 394 are 2 x 197

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 21

Therefore, GCD of 600, 294, 394, 792 is 2.

Steps to Calculate GCD of 600, 294, 394, 792 using LCM Formula

Given numbers are 600, 294, 394, 792

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

Apply this formula for all numbers.

Step1:

LCM(600, 294) = 29400

GCD(600, 294) = ( 600 x 294 ) / 29400

= 600 / 294

= 600


Step2:

LCM(6, 394) = 1182

GCD(6, 394) = ( 6 x 394 ) / 1182

= 6 / 394

= 6


Step3:

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

= 2 / 792

= 2


So, Greatest Common Divisor of 600, 294, 394, 792 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 294, 394, 792

Given numbers are 600, 294, 394, 792
The greatest common divisor of numbers 600, 294, 394, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 294, 394, 792 is 2.

FAQs on GCD of 600, 294, 394, 792 Calculator

1. What is the GCD of 600, 294, 394, 792?

GCD of given numbers 600, 294, 394, 792 is 2


2. How to calculate the greatest common divisor of 600, 294, 394, 792?

We can find the highest common divisor of 600, 294, 394, 792 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 600, 294, 394, 792 i.e 2.


3. How can I use the GCD of 600, 294, 394, 792Calculator?

Out the numbers 600, 294, 394, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.