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GCD of 138, 591, 230, 892 Calculator

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


Online GCD Calculator is useful to find the GCD of 138, 591, 230, 892 quickly. Get the easiest ways to solve the greatest common divisor of 138, 591, 230, 892 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 591, 230, 892 with Factoring?

Given Input numbers are 138, 591, 230, 892

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892


GCD of numbers is the greatest common divisor

So, the GCD (138, 591, 230, 892) = 1.

Find GCD of 138, 591, 230, 892 using Prime Factorization

Given numbers are 138, 591, 230, 892

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 591 are 3 x 197

Prime factors of 230 are 2 x 5 x 23

Prime factors of 892 are 2 x 2 x 223

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

Steps to Calculate GCD of 138, 591, 230, 892 using LCM Formula

Given numbers are 138, 591, 230, 892

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

Apply this formula for all numbers.

Step1:

LCM(138, 591) = 27186

GCD(138, 591) = ( 138 x 591 ) / 27186

= 138 / 591

= 138


Step2:

LCM(3, 230) = 690

GCD(3, 230) = ( 3 x 230 ) / 690

= 3 / 230

= 3


Step3:

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

= 1 / 892

= 1


So, Greatest Common Divisor of 138, 591, 230, 892 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 591, 230, 892

Given numbers are 138, 591, 230, 892
The greatest common divisor of numbers 138, 591, 230, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 591, 230, 892 is 1.

FAQs on GCD of 138, 591, 230, 892 Calculator

1. What is the GCD of 138, 591, 230, 892?

GCD of given numbers 138, 591, 230, 892 is 1


2. How to calculate the greatest common divisor of 138, 591, 230, 892?

We can find the highest common divisor of 138, 591, 230, 892 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 138, 591, 230, 892 i.e 1.


3. How can I use the GCD of 138, 591, 230, 892Calculator?

Out the numbers 138, 591, 230, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.