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GCD of 738, 909, 300, 389 Calculator

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


Online GCD Calculator is useful to find the GCD of 738, 909, 300, 389 quickly. Get the easiest ways to solve the greatest common divisor of 738, 909, 300, 389 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 909, 300, 389 with Factoring?

Given Input numbers are 738, 909, 300, 389

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

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 389 :

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

1, 389


GCD of numbers is the greatest common divisor

So, the GCD (738, 909, 300, 389) = 1.

Find GCD of 738, 909, 300, 389 using Prime Factorization

Given numbers are 738, 909, 300, 389

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 909 are 3 x 3 x 101

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 389 are 389

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

Steps to Calculate GCD of 738, 909, 300, 389 using LCM Formula

Given numbers are 738, 909, 300, 389

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

Apply this formula for all numbers.

Step1:

LCM(738, 909) = 74538

GCD(738, 909) = ( 738 x 909 ) / 74538

= 738 / 909

= 738


Step2:

LCM(9, 300) = 900

GCD(9, 300) = ( 9 x 300 ) / 900

= 9 / 300

= 9


Step3:

LCM(3, 389) = 1167

GCD(3, 389) = ( 3 x 389 ) / 1167

= 3 / 389

= 3


So, Greatest Common Divisor of 738, 909, 300, 389 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 909, 300, 389

Given numbers are 738, 909, 300, 389
The greatest common divisor of numbers 738, 909, 300, 389 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 909, 300, 389 is 1.

FAQs on GCD of 738, 909, 300, 389 Calculator

1. What is the GCD of 738, 909, 300, 389?

GCD of given numbers 738, 909, 300, 389 is 1


2. How to calculate the greatest common divisor of 738, 909, 300, 389?

We can find the highest common divisor of 738, 909, 300, 389 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 738, 909, 300, 389 i.e 1.


3. How can I use the GCD of 738, 909, 300, 389Calculator?

Out the numbers 738, 909, 300, 389 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.