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GCD of 389, 747, 361, 508 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, 747, 361, 508 quickly. Get the easiest ways to solve the greatest common divisor of 389, 747, 361, 508 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 389, 747, 361, 508 with Factoring?

Given Input numbers are 389, 747, 361, 508

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508


GCD of numbers is the greatest common divisor

So, the GCD (389, 747, 361, 508) = 1.

Find GCD of 389, 747, 361, 508 using Prime Factorization

Given numbers are 389, 747, 361, 508

The list of prime factors of all numbers are

Prime factors of 389 are 389

Prime factors of 747 are 3 x 3 x 83

Prime factors of 361 are 19 x 19

Prime factors of 508 are 2 x 2 x 127

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

Steps to Calculate GCD of 389, 747, 361, 508 using LCM Formula

Given numbers are 389, 747, 361, 508

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

Apply this formula for all numbers.

Step1:

LCM(389, 747) = 290583

GCD(389, 747) = ( 389 x 747 ) / 290583

= 389 / 747

= 389


Step2:

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

= 1 / 361

= 1


Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1


So, Greatest Common Divisor of 389, 747, 361, 508 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 389, 747, 361, 508

Given numbers are 389, 747, 361, 508
The greatest common divisor of numbers 389, 747, 361, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 389, 747, 361, 508 is 1.

FAQs on GCD of 389, 747, 361, 508 Calculator

1. What is the GCD of 389, 747, 361, 508?

GCD of given numbers 389, 747, 361, 508 is 1


2. How to calculate the greatest common divisor of 389, 747, 361, 508?

We can find the highest common divisor of 389, 747, 361, 508 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, 747, 361, 508 i.e 1.


3. How can I use the GCD of 389, 747, 361, 508Calculator?

Out the numbers 389, 747, 361, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.