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GCD of 500, 604, 200, 967 Calculator

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


Online GCD Calculator is useful to find the GCD of 500, 604, 200, 967 quickly. Get the easiest ways to solve the greatest common divisor of 500, 604, 200, 967 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 500, 604, 200, 967 with Factoring?

Given Input numbers are 500, 604, 200, 967

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967


GCD of numbers is the greatest common divisor

So, the GCD (500, 604, 200, 967) = 1.

Find GCD of 500, 604, 200, 967 using Prime Factorization

Given numbers are 500, 604, 200, 967

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 604 are 2 x 2 x 151

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 967 are 967

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

Steps to Calculate GCD of 500, 604, 200, 967 using LCM Formula

Given numbers are 500, 604, 200, 967

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

Apply this formula for all numbers.

Step1:

LCM(500, 604) = 75500

GCD(500, 604) = ( 500 x 604 ) / 75500

= 500 / 604

= 500


Step2:

LCM(4, 200) = 200

GCD(4, 200) = ( 4 x 200 ) / 200

= 4 / 200

= 4


Step3:

LCM(4, 967) = 3868

GCD(4, 967) = ( 4 x 967 ) / 3868

= 4 / 967

= 4


So, Greatest Common Divisor of 500, 604, 200, 967 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 500, 604, 200, 967

Given numbers are 500, 604, 200, 967
The greatest common divisor of numbers 500, 604, 200, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 604, 200, 967 is 1.

FAQs on GCD of 500, 604, 200, 967 Calculator

1. What is the GCD of 500, 604, 200, 967?

GCD of given numbers 500, 604, 200, 967 is 1


2. How to calculate the greatest common divisor of 500, 604, 200, 967?

We can find the highest common divisor of 500, 604, 200, 967 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 500, 604, 200, 967 i.e 1.


3. How can I use the GCD of 500, 604, 200, 967Calculator?

Out the numbers 500, 604, 200, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.