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GCD of 600, 494, 798, 713 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, 494, 798, 713 quickly. Get the easiest ways to solve the greatest common divisor of 600, 494, 798, 713 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 600, 494, 798, 713 with Factoring?

Given Input numbers are 600, 494, 798, 713

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 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 713 :

The positive integer divisors of 713 that completely divides 713 are.

1, 23, 31, 713


GCD of numbers is the greatest common divisor

So, the GCD (600, 494, 798, 713) = 1.

Find GCD of 600, 494, 798, 713 using Prime Factorization

Given numbers are 600, 494, 798, 713

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 494 are 2 x 13 x 19

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 713 are 23 x 31

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 600, 494, 798, 713 using LCM Formula

Given numbers are 600, 494, 798, 713

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

Apply this formula for all numbers.

Step1:

LCM(600, 494) = 148200

GCD(600, 494) = ( 600 x 494 ) / 148200

= 600 / 494

= 600


Step2:

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

= 2 / 798

= 2


Step3:

LCM(2, 713) = 1426

GCD(2, 713) = ( 2 x 713 ) / 1426

= 2 / 713

= 2


So, Greatest Common Divisor of 600, 494, 798, 713 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 600, 494, 798, 713

Given numbers are 600, 494, 798, 713
The greatest common divisor of numbers 600, 494, 798, 713 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 494, 798, 713 is 1.

FAQs on GCD of 600, 494, 798, 713 Calculator

1. What is the GCD of 600, 494, 798, 713?

GCD of given numbers 600, 494, 798, 713 is 1


2. How to calculate the greatest common divisor of 600, 494, 798, 713?

We can find the highest common divisor of 600, 494, 798, 713 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, 494, 798, 713 i.e 1.


3. How can I use the GCD of 600, 494, 798, 713Calculator?

Out the numbers 600, 494, 798, 713 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.