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GCD of 138, 663, 506, 486 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, 663, 506, 486 quickly. Get the easiest ways to solve the greatest common divisor of 138, 663, 506, 486 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 663, 506, 486 with Factoring?

Given Input numbers are 138, 663, 506, 486

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 663 :

The positive integer divisors of 663 that completely divides 663 are.

1, 3, 13, 17, 39, 51, 221, 663

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486


GCD of numbers is the greatest common divisor

So, the GCD (138, 663, 506, 486) = 1.

Find GCD of 138, 663, 506, 486 using Prime Factorization

Given numbers are 138, 663, 506, 486

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 663 are 3 x 13 x 17

Prime factors of 506 are 2 x 11 x 23

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 138, 663, 506, 486 using LCM Formula

Given numbers are 138, 663, 506, 486

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

Apply this formula for all numbers.

Step1:

LCM(138, 663) = 30498

GCD(138, 663) = ( 138 x 663 ) / 30498

= 138 / 663

= 138


Step2:

LCM(3, 506) = 1518

GCD(3, 506) = ( 3 x 506 ) / 1518

= 3 / 506

= 3


Step3:

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

= 1 / 486

= 1


So, Greatest Common Divisor of 138, 663, 506, 486 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 663, 506, 486

Given numbers are 138, 663, 506, 486
The greatest common divisor of numbers 138, 663, 506, 486 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 663, 506, 486 is 1.

FAQs on GCD of 138, 663, 506, 486 Calculator

1. What is the GCD of 138, 663, 506, 486?

GCD of given numbers 138, 663, 506, 486 is 1


2. How to calculate the greatest common divisor of 138, 663, 506, 486?

We can find the highest common divisor of 138, 663, 506, 486 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, 663, 506, 486 i.e 1.


3. How can I use the GCD of 138, 663, 506, 486Calculator?

Out the numbers 138, 663, 506, 486 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.