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GCD of 738, 908, 356, 299 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, 908, 356, 299 quickly. Get the easiest ways to solve the greatest common divisor of 738, 908, 356, 299 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 908, 356, 299 with Factoring?

Given Input numbers are 738, 908, 356, 299

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 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299


GCD of numbers is the greatest common divisor

So, the GCD (738, 908, 356, 299) = 1.

Find GCD of 738, 908, 356, 299 using Prime Factorization

Given numbers are 738, 908, 356, 299

The list of prime factors of all numbers are

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

Prime factors of 908 are 2 x 2 x 227

Prime factors of 356 are 2 x 2 x 89

Prime factors of 299 are 13 x 23

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

Steps to Calculate GCD of 738, 908, 356, 299 using LCM Formula

Given numbers are 738, 908, 356, 299

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

Apply this formula for all numbers.

Step1:

LCM(738, 908) = 335052

GCD(738, 908) = ( 738 x 908 ) / 335052

= 738 / 908

= 738


Step2:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2


Step3:

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

= 2 / 299

= 2


So, Greatest Common Divisor of 738, 908, 356, 299 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 908, 356, 299

Given numbers are 738, 908, 356, 299
The greatest common divisor of numbers 738, 908, 356, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 908, 356, 299 is 1.

FAQs on GCD of 738, 908, 356, 299 Calculator

1. What is the GCD of 738, 908, 356, 299?

GCD of given numbers 738, 908, 356, 299 is 1


2. How to calculate the greatest common divisor of 738, 908, 356, 299?

We can find the highest common divisor of 738, 908, 356, 299 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, 908, 356, 299 i.e 1.


3. How can I use the GCD of 738, 908, 356, 299Calculator?

Out the numbers 738, 908, 356, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.