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GCD of 600, 326, 714, 242 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, 326, 714, 242 quickly. Get the easiest ways to solve the greatest common divisor of 600, 326, 714, 242 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 326, 714, 242 with Factoring?

Given Input numbers are 600, 326, 714, 242

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 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242


GCD of numbers is the greatest common divisor

So, the GCD (600, 326, 714, 242) = 2.

Find GCD of 600, 326, 714, 242 using Prime Factorization

Given numbers are 600, 326, 714, 242

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 326 are 2 x 163

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 21

Therefore, GCD of 600, 326, 714, 242 is 2.

Steps to Calculate GCD of 600, 326, 714, 242 using LCM Formula

Given numbers are 600, 326, 714, 242

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

Apply this formula for all numbers.

Step1:

LCM(600, 326) = 97800

GCD(600, 326) = ( 600 x 326 ) / 97800

= 600 / 326

= 600


Step2:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2


Step3:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2


So, Greatest Common Divisor of 600, 326, 714, 242 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 326, 714, 242

Given numbers are 600, 326, 714, 242
The greatest common divisor of numbers 600, 326, 714, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 326, 714, 242 is 2.

FAQs on GCD of 600, 326, 714, 242 Calculator

1. What is the GCD of 600, 326, 714, 242?

GCD of given numbers 600, 326, 714, 242 is 2


2. How to calculate the greatest common divisor of 600, 326, 714, 242?

We can find the highest common divisor of 600, 326, 714, 242 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, 326, 714, 242 i.e 2.


3. How can I use the GCD of 600, 326, 714, 242Calculator?

Out the numbers 600, 326, 714, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.