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GCD of 738, 544, 109, 834 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, 544, 109, 834 quickly. Get the easiest ways to solve the greatest common divisor of 738, 544, 109, 834 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 738, 544, 109, 834 with Factoring?

Given Input numbers are 738, 544, 109, 834

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 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834


GCD of numbers is the greatest common divisor

So, the GCD (738, 544, 109, 834) = 1.

Find GCD of 738, 544, 109, 834 using Prime Factorization

Given numbers are 738, 544, 109, 834

The list of prime factors of all numbers are

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

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 109 are 109

Prime factors of 834 are 2 x 3 x 139

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

Steps to Calculate GCD of 738, 544, 109, 834 using LCM Formula

Given numbers are 738, 544, 109, 834

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

Apply this formula for all numbers.

Step1:

LCM(738, 544) = 200736

GCD(738, 544) = ( 738 x 544 ) / 200736

= 738 / 544

= 738


Step2:

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

= 2 / 109

= 2


Step3:

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

= 1 / 834

= 1


So, Greatest Common Divisor of 738, 544, 109, 834 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 738, 544, 109, 834

Given numbers are 738, 544, 109, 834
The greatest common divisor of numbers 738, 544, 109, 834 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 544, 109, 834 is 1.

FAQs on GCD of 738, 544, 109, 834 Calculator

1. What is the GCD of 738, 544, 109, 834?

GCD of given numbers 738, 544, 109, 834 is 1


2. How to calculate the greatest common divisor of 738, 544, 109, 834?

We can find the highest common divisor of 738, 544, 109, 834 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, 544, 109, 834 i.e 1.


3. How can I use the GCD of 738, 544, 109, 834Calculator?

Out the numbers 738, 544, 109, 834 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.