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GCD of 389, 926, 144 Calculator

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


Online GCD Calculator is useful to find the GCD of 389, 926, 144 quickly. Get the easiest ways to solve the greatest common divisor of 389, 926, 144 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 389, 926, 144 with Factoring?

Given Input numbers are 389, 926, 144

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

Divisors of 389 :

The positive integer divisors of 389 that completely divides 389 are.

1, 389

Divisors of 926 :

The positive integer divisors of 926 that completely divides 926 are.

1, 2, 463, 926

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


GCD of numbers is the greatest common divisor

So, the GCD (389, 926, 144) = 1.

Find GCD of 389, 926, 144 using Prime Factorization

Given numbers are 389, 926, 144

The list of prime factors of all numbers are

Prime factors of 389 are 389

Prime factors of 926 are 2 x 463

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

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

Steps to Calculate GCD of 389, 926, 144 using LCM Formula

Given numbers are 389, 926, 144

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

Apply this formula for all numbers.

Step1:

LCM(389, 926) = 360214

GCD(389, 926) = ( 389 x 926 ) / 360214

= 389 / 926

= 389


Step2:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1


So, Greatest Common Divisor of 389, 926, 144 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 389, 926, 144

Given numbers are 389, 926, 144
The greatest common divisor of numbers 389, 926, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 389, 926, 144 is 1.

FAQs on GCD of 389, 926, 144 Calculator

1. What is the GCD of 389, 926, 144?

GCD of given numbers 389, 926, 144 is 1


2. How to calculate the greatest common divisor of 389, 926, 144?

We can find the highest common divisor of 389, 926, 144 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 389, 926, 144 i.e 1.


3. How can I use the GCD of 389, 926, 144Calculator?

Out the numbers 389, 926, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.