LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 500, 600, 955 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, 600, 955 quickly. Get the easiest ways to solve the greatest common divisor of 500, 600, 955 i.e 5 in different methods as follows.

GCD of

How to Find GCD of Numbers 500, 600, 955 with Factoring?

Given Input numbers are 500, 600, 955

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 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 955 :

The positive integer divisors of 955 that completely divides 955 are.

1, 5, 191, 955


GCD of numbers is the greatest common divisor

So, the GCD (500, 600, 955) = 5.

Find GCD of 500, 600, 955 using Prime Factorization

Given numbers are 500, 600, 955

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 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 955 are 5 x 191

The highest common occurrence is 51

Therefore, GCD of 500, 600, 955 is 5.

Steps to Calculate GCD of 500, 600, 955 using LCM Formula

Given numbers are 500, 600, 955

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

Apply this formula for all numbers.

Step1:

LCM(500, 600) = 3000

GCD(500, 600) = ( 500 x 600 ) / 3000

= 500 / 600

= 500

Step2:

LCM(100, 955) = 19100

GCD(100, 955) = ( 100 x 955 ) / 19100

= 100 / 955

= 100


So, Greatest Common Divisor of 500, 600, 955 is 5

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 500, 600, 955

Given numbers are 500, 600, 955
The greatest common divisor of numbers 500, 600, 955 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 600, 955 is 5.

FAQs on GCD of 500, 600, 955 Calculator

1. What is the GCD of 500, 600, 955?

GCD of given numbers 500, 600, 955 is 5

2. How to calculate the greatest common divisor of 500, 600, 955?

We can find the highest common divisor of 500, 600, 955 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, 600, 955 i.e 5.

3. How can I use the GCD of 500, 600, 955Calculator?

Out the numbers 500, 600, 955 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.