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GCD of 500, 144, 975 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, 144, 975 quickly. Get the easiest ways to solve the greatest common divisor of 500, 144, 975 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 500, 144, 975 with Factoring?

Given Input numbers are 500, 144, 975

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975


GCD of numbers is the greatest common divisor

So, the GCD (500, 144, 975) = 1.

Find GCD of 500, 144, 975 using Prime Factorization

Given numbers are 500, 144, 975

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 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 975 are 3 x 5 x 5 x 13

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

Steps to Calculate GCD of 500, 144, 975 using LCM Formula

Given numbers are 500, 144, 975

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

Apply this formula for all numbers.

Step1:

LCM(500, 144) = 18000

GCD(500, 144) = ( 500 x 144 ) / 18000

= 500 / 144

= 500

Step2:

LCM(4, 975) = 3900

GCD(4, 975) = ( 4 x 975 ) / 3900

= 4 / 975

= 4


So, Greatest Common Divisor of 500, 144, 975 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

Greatest Common Divisor of 500, 144, 975

Given numbers are 500, 144, 975
The greatest common divisor of numbers 500, 144, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 144, 975 is 1.

FAQs on GCD of 500, 144, 975 Calculator

1. What is the GCD of 500, 144, 975?

GCD of given numbers 500, 144, 975 is 1

2. How to calculate the greatest common divisor of 500, 144, 975?

We can find the highest common divisor of 500, 144, 975 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, 144, 975 i.e 1.

3. How can I use the GCD of 500, 144, 975Calculator?

Out the numbers 500, 144, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.