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GCD of 744, 369, 107, 294 Calculator

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


Online GCD Calculator is useful to find the GCD of 744, 369, 107, 294 quickly. Get the easiest ways to solve the greatest common divisor of 744, 369, 107, 294 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 744, 369, 107, 294 with Factoring?

Given Input numbers are 744, 369, 107, 294

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294


GCD of numbers is the greatest common divisor

So, the GCD (744, 369, 107, 294) = 1.

Find GCD of 744, 369, 107, 294 using Prime Factorization

Given numbers are 744, 369, 107, 294

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 369 are 3 x 3 x 41

Prime factors of 107 are 107

Prime factors of 294 are 2 x 3 x 7 x 7

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

Steps to Calculate GCD of 744, 369, 107, 294 using LCM Formula

Given numbers are 744, 369, 107, 294

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

Apply this formula for all numbers.

Step1:

LCM(744, 369) = 91512

GCD(744, 369) = ( 744 x 369 ) / 91512

= 744 / 369

= 744


Step2:

LCM(3, 107) = 321

GCD(3, 107) = ( 3 x 107 ) / 321

= 3 / 107

= 3


Step3:

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

= 1 / 294

= 1


So, Greatest Common Divisor of 744, 369, 107, 294 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 744, 369, 107, 294

Given numbers are 744, 369, 107, 294
The greatest common divisor of numbers 744, 369, 107, 294 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 369, 107, 294 is 1.

FAQs on GCD of 744, 369, 107, 294 Calculator

1. What is the GCD of 744, 369, 107, 294?

GCD of given numbers 744, 369, 107, 294 is 1


2. How to calculate the greatest common divisor of 744, 369, 107, 294?

We can find the highest common divisor of 744, 369, 107, 294 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 744, 369, 107, 294 i.e 1.


3. How can I use the GCD of 744, 369, 107, 294Calculator?

Out the numbers 744, 369, 107, 294 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.