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GCD of 204, 140, 187 Calculator

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


Online GCD Calculator is useful to find the GCD of 204, 140, 187 quickly. Get the easiest ways to solve the greatest common divisor of 204, 140, 187 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 204, 140, 187 with Factoring?

Given Input numbers are 204, 140, 187

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

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187


GCD of numbers is the greatest common divisor

So, the GCD (204, 140, 187) = 1.

Find GCD of 204, 140, 187 using Prime Factorization

Given numbers are 204, 140, 187

The list of prime factors of all numbers are

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 187 are 11 x 17

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

Steps to Calculate GCD of 204, 140, 187 using LCM Formula

Given numbers are 204, 140, 187

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

Apply this formula for all numbers.

Step1:

LCM(204, 140) = 7140

GCD(204, 140) = ( 204 x 140 ) / 7140

= 204 / 140

= 204


Step2:

LCM(4, 187) = 748

GCD(4, 187) = ( 4 x 187 ) / 748

= 4 / 187

= 4


So, Greatest Common Divisor of 204, 140, 187 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 204, 140, 187

Given numbers are 204, 140, 187
The greatest common divisor of numbers 204, 140, 187 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 204, 140, 187 is 1.

FAQs on GCD of 204, 140, 187 Calculator

1. What is the GCD of 204, 140, 187?

GCD of given numbers 204, 140, 187 is 1


2. How to calculate the greatest common divisor of 204, 140, 187?

We can find the highest common divisor of 204, 140, 187 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 204, 140, 187 i.e 1.


3. How can I use the GCD of 204, 140, 187Calculator?

Out the numbers 204, 140, 187 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.