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GCD of 207, 216, 50 Calculator

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


Online GCD Calculator is useful to find the GCD of 207, 216, 50 quickly. Get the easiest ways to solve the greatest common divisor of 207, 216, 50 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 207, 216, 50 with Factoring?

Given Input numbers are 207, 216, 50

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

Divisors of 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

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 50 :

The positive integer divisors of 50 that completely divides 50 are.

1, 2, 5, 10, 25, 50


GCD of numbers is the greatest common divisor

So, the GCD (207, 216, 50) = 1.

Find GCD of 207, 216, 50 using Prime Factorization

Given numbers are 207, 216, 50

The list of prime factors of all numbers are

Prime factors of 207 are 3 x 3 x 23

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

Prime factors of 50 are 2 x 5 x 5

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

Steps to Calculate GCD of 207, 216, 50 using LCM Formula

Given numbers are 207, 216, 50

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

Apply this formula for all numbers.

Step1:

LCM(207, 216) = 4968

GCD(207, 216) = ( 207 x 216 ) / 4968

= 207 / 216

= 207


Step2:

LCM(9, 50) = 450

GCD(9, 50) = ( 9 x 50 ) / 450

= 9 / 50

= 9


So, Greatest Common Divisor of 207, 216, 50 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 207, 216, 50

Given numbers are 207, 216, 50
The greatest common divisor of numbers 207, 216, 50 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 207, 216, 50 is 1.

FAQs on GCD of 207, 216, 50 Calculator

1. What is the GCD of 207, 216, 50?

GCD of given numbers 207, 216, 50 is 1


2. How to calculate the greatest common divisor of 207, 216, 50?

We can find the highest common divisor of 207, 216, 50 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 207, 216, 50 i.e 1.


3. How can I use the GCD of 207, 216, 50Calculator?

Out the numbers 207, 216, 50 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.