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GCD of 216, 500, 588, 375 Calculator

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


Online GCD Calculator is useful to find the GCD of 216, 500, 588, 375 quickly. Get the easiest ways to solve the greatest common divisor of 216, 500, 588, 375 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 216, 500, 588, 375 with Factoring?

Given Input numbers are 216, 500, 588, 375

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375


GCD of numbers is the greatest common divisor

So, the GCD (216, 500, 588, 375) = 1.

Find GCD of 216, 500, 588, 375 using Prime Factorization

Given numbers are 216, 500, 588, 375

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 375 are 3 x 5 x 5 x 5

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

Steps to Calculate GCD of 216, 500, 588, 375 using LCM Formula

Given numbers are 216, 500, 588, 375

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

Apply this formula for all numbers.

Step1:

LCM(216, 500) = 27000

GCD(216, 500) = ( 216 x 500 ) / 27000

= 216 / 500

= 216


Step2:

LCM(4, 588) = 588

GCD(4, 588) = ( 4 x 588 ) / 588

= 4 / 588

= 4


Step3:

LCM(4, 375) = 1500

GCD(4, 375) = ( 4 x 375 ) / 1500

= 4 / 375

= 4


So, Greatest Common Divisor of 216, 500, 588, 375 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 216, 500, 588, 375

Given numbers are 216, 500, 588, 375
The greatest common divisor of numbers 216, 500, 588, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 500, 588, 375 is 1.

FAQs on GCD of 216, 500, 588, 375 Calculator

1. What is the GCD of 216, 500, 588, 375?

GCD of given numbers 216, 500, 588, 375 is 1


2. How to calculate the greatest common divisor of 216, 500, 588, 375?

We can find the highest common divisor of 216, 500, 588, 375 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 216, 500, 588, 375 i.e 1.


3. How can I use the GCD of 216, 500, 588, 375Calculator?

Out the numbers 216, 500, 588, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.