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GCD of 138, 147, 593, 539 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, 147, 593, 539 quickly. Get the easiest ways to solve the greatest common divisor of 138, 147, 593, 539 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 147, 593, 539 with Factoring?

Given Input numbers are 138, 147, 593, 539

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 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 593 :

The positive integer divisors of 593 that completely divides 593 are.

1, 593

Divisors of 539 :

The positive integer divisors of 539 that completely divides 539 are.

1, 7, 11, 49, 77, 539


GCD of numbers is the greatest common divisor

So, the GCD (138, 147, 593, 539) = 1.

Find GCD of 138, 147, 593, 539 using Prime Factorization

Given numbers are 138, 147, 593, 539

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 147 are 3 x 7 x 7

Prime factors of 593 are 593

Prime factors of 539 are 7 x 7 x 11

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

Steps to Calculate GCD of 138, 147, 593, 539 using LCM Formula

Given numbers are 138, 147, 593, 539

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

Apply this formula for all numbers.

Step1:

LCM(138, 147) = 6762

GCD(138, 147) = ( 138 x 147 ) / 6762

= 138 / 147

= 138


Step2:

LCM(3, 593) = 1779

GCD(3, 593) = ( 3 x 593 ) / 1779

= 3 / 593

= 3


Step3:

LCM(1, 539) = 539

GCD(1, 539) = ( 1 x 539 ) / 539

= 1 / 539

= 1


So, Greatest Common Divisor of 138, 147, 593, 539 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 147, 593, 539

Given numbers are 138, 147, 593, 539
The greatest common divisor of numbers 138, 147, 593, 539 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 147, 593, 539 is 1.

FAQs on GCD of 138, 147, 593, 539 Calculator

1. What is the GCD of 138, 147, 593, 539?

GCD of given numbers 138, 147, 593, 539 is 1


2. How to calculate the greatest common divisor of 138, 147, 593, 539?

We can find the highest common divisor of 138, 147, 593, 539 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, 147, 593, 539 i.e 1.


3. How can I use the GCD of 138, 147, 593, 539Calculator?

Out the numbers 138, 147, 593, 539 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.