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GCD of 144, 479, 338, 367 Calculator

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


Online GCD Calculator is useful to find the GCD of 144, 479, 338, 367 quickly. Get the easiest ways to solve the greatest common divisor of 144, 479, 338, 367 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 144, 479, 338, 367 with Factoring?

Given Input numbers are 144, 479, 338, 367

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 479 :

The positive integer divisors of 479 that completely divides 479 are.

1, 479

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367


GCD of numbers is the greatest common divisor

So, the GCD (144, 479, 338, 367) = 1.

Find GCD of 144, 479, 338, 367 using Prime Factorization

Given numbers are 144, 479, 338, 367

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 479 are 479

Prime factors of 338 are 2 x 13 x 13

Prime factors of 367 are 367

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

Steps to Calculate GCD of 144, 479, 338, 367 using LCM Formula

Given numbers are 144, 479, 338, 367

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

Apply this formula for all numbers.

Step1:

LCM(144, 479) = 68976

GCD(144, 479) = ( 144 x 479 ) / 68976

= 144 / 479

= 144


Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


Step3:

LCM(1, 367) = 367

GCD(1, 367) = ( 1 x 367 ) / 367

= 1 / 367

= 1


So, Greatest Common Divisor of 144, 479, 338, 367 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 144, 479, 338, 367

Given numbers are 144, 479, 338, 367
The greatest common divisor of numbers 144, 479, 338, 367 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 479, 338, 367 is 1.

FAQs on GCD of 144, 479, 338, 367 Calculator

1. What is the GCD of 144, 479, 338, 367?

GCD of given numbers 144, 479, 338, 367 is 1


2. How to calculate the greatest common divisor of 144, 479, 338, 367?

We can find the highest common divisor of 144, 479, 338, 367 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 144, 479, 338, 367 i.e 1.


3. How can I use the GCD of 144, 479, 338, 367Calculator?

Out the numbers 144, 479, 338, 367 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.