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GCD of 104, 585, 138, 318 Calculator

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


Online GCD Calculator is useful to find the GCD of 104, 585, 138, 318 quickly. Get the easiest ways to solve the greatest common divisor of 104, 585, 138, 318 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 104, 585, 138, 318 with Factoring?

Given Input numbers are 104, 585, 138, 318

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 138 :

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

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318


GCD of numbers is the greatest common divisor

So, the GCD (104, 585, 138, 318) = 1.

Find GCD of 104, 585, 138, 318 using Prime Factorization

Given numbers are 104, 585, 138, 318

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 138 are 2 x 3 x 23

Prime factors of 318 are 2 x 3 x 53

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

Steps to Calculate GCD of 104, 585, 138, 318 using LCM Formula

Given numbers are 104, 585, 138, 318

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

Apply this formula for all numbers.

Step1:

LCM(104, 585) = 4680

GCD(104, 585) = ( 104 x 585 ) / 4680

= 104 / 585

= 104


Step2:

LCM(13, 138) = 1794

GCD(13, 138) = ( 13 x 138 ) / 1794

= 13 / 138

= 13


Step3:

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

= 1 / 318

= 1


So, Greatest Common Divisor of 104, 585, 138, 318 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 104, 585, 138, 318

Given numbers are 104, 585, 138, 318
The greatest common divisor of numbers 104, 585, 138, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 585, 138, 318 is 1.

FAQs on GCD of 104, 585, 138, 318 Calculator

1. What is the GCD of 104, 585, 138, 318?

GCD of given numbers 104, 585, 138, 318 is 1


2. How to calculate the greatest common divisor of 104, 585, 138, 318?

We can find the highest common divisor of 104, 585, 138, 318 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 104, 585, 138, 318 i.e 1.


3. How can I use the GCD of 104, 585, 138, 318Calculator?

Out the numbers 104, 585, 138, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.