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GCD of 100, 240, 500 Calculator

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

Online GCD Calculator is useful to find the GCD of 100, 240, 500 quickly. Get the easiest ways to solve the greatest common divisor of 100, 240, 500 i.e 20 in different methods as follows.

GCD of

How to Find GCD of Numbers 100, 240, 500 with Factoring?

Given Input numbers are 100, 240, 500

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

Divisors of 100 :

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

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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


GCD of numbers is the greatest common divisor

So, the GCD (100, 240, 500) = 20.

Find GCD of 100, 240, 500 using Prime Factorization

Given numbers are 100, 240, 500

The list of prime factors of all numbers are

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

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 22 x 51

Therefore, GCD of 100, 240, 500 is 20.

Steps to Calculate GCD of 100, 240, 500 using LCM Formula

Given numbers are 100, 240, 500

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

Apply this formula for all numbers.

Step1:

LCM(100, 240) = 1200

GCD(100, 240) = ( 100 x 240 ) / 1200

= 100 / 240

= 100

Step2:

LCM(20, 500) = 500

GCD(20, 500) = ( 20 x 500 ) / 500

= 20 / 500

= 20


So, Greatest Common Divisor of 100, 240, 500 is 20

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 100, 240, 500

Given numbers are 100, 240, 500
The greatest common divisor of numbers 100, 240, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 240, 500 is 20.

FAQs on GCD of 100, 240, 500 Calculator

1. What is the GCD of 100, 240, 500?

GCD of given numbers 100, 240, 500 is 20

2. How to calculate the greatest common divisor of 100, 240, 500?

We can find the highest common divisor of 100, 240, 500 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 100, 240, 500 i.e 20.

3. How can I use the GCD of 100, 240, 500Calculator?

Out the numbers 100, 240, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.