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GCD of 738, 187, 277, 204 Calculator

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


Online GCD Calculator is useful to find the GCD of 738, 187, 277, 204 quickly. Get the easiest ways to solve the greatest common divisor of 738, 187, 277, 204 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 187, 277, 204 with Factoring?

Given Input numbers are 738, 187, 277, 204

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 187 :

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

1, 11, 17, 187

Divisors of 277 :

The positive integer divisors of 277 that completely divides 277 are.

1, 277

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


GCD of numbers is the greatest common divisor

So, the GCD (738, 187, 277, 204) = 1.

Find GCD of 738, 187, 277, 204 using Prime Factorization

Given numbers are 738, 187, 277, 204

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 187 are 11 x 17

Prime factors of 277 are 277

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

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

Steps to Calculate GCD of 738, 187, 277, 204 using LCM Formula

Given numbers are 738, 187, 277, 204

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

Apply this formula for all numbers.

Step1:

LCM(738, 187) = 138006

GCD(738, 187) = ( 738 x 187 ) / 138006

= 738 / 187

= 738


Step2:

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

= 1 / 277

= 1


Step3:

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

= 1 / 204

= 1


So, Greatest Common Divisor of 738, 187, 277, 204 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 187, 277, 204

Given numbers are 738, 187, 277, 204
The greatest common divisor of numbers 738, 187, 277, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 187, 277, 204 is 1.

FAQs on GCD of 738, 187, 277, 204 Calculator

1. What is the GCD of 738, 187, 277, 204?

GCD of given numbers 738, 187, 277, 204 is 1


2. How to calculate the greatest common divisor of 738, 187, 277, 204?

We can find the highest common divisor of 738, 187, 277, 204 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 738, 187, 277, 204 i.e 1.


3. How can I use the GCD of 738, 187, 277, 204Calculator?

Out the numbers 738, 187, 277, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.