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GCD of 304, 500, 100 Calculator

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

Online GCD Calculator is useful to find the GCD of 304, 500, 100 quickly. Get the easiest ways to solve the greatest common divisor of 304, 500, 100 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 304, 500, 100 with Factoring?

Given Input numbers are 304, 500, 100

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

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100


GCD of numbers is the greatest common divisor

So, the GCD (304, 500, 100) = 4.

Find GCD of 304, 500, 100 using Prime Factorization

Given numbers are 304, 500, 100

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 22

Therefore, GCD of 304, 500, 100 is 4.

Steps to Calculate GCD of 304, 500, 100 using LCM Formula

Given numbers are 304, 500, 100

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

Apply this formula for all numbers.

Step1:

LCM(304, 500) = 38000

GCD(304, 500) = ( 304 x 500 ) / 38000

= 304 / 500

= 304

Step2:

LCM(4, 100) = 100

GCD(4, 100) = ( 4 x 100 ) / 100

= 4 / 100

= 4


So, Greatest Common Divisor of 304, 500, 100 is 4

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 304, 500, 100

Given numbers are 304, 500, 100
The greatest common divisor of numbers 304, 500, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 500, 100 is 4.

FAQs on GCD of 304, 500, 100 Calculator

1. What is the GCD of 304, 500, 100?

GCD of given numbers 304, 500, 100 is 4

2. How to calculate the greatest common divisor of 304, 500, 100?

We can find the highest common divisor of 304, 500, 100 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 304, 500, 100 i.e 4.

3. How can I use the GCD of 304, 500, 100Calculator?

Out the numbers 304, 500, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.