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GCD of 743, 104, 744, 349 Calculator

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


Online GCD Calculator is useful to find the GCD of 743, 104, 744, 349 quickly. Get the easiest ways to solve the greatest common divisor of 743, 104, 744, 349 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 743, 104, 744, 349 with Factoring?

Given Input numbers are 743, 104, 744, 349

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

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

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 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349


GCD of numbers is the greatest common divisor

So, the GCD (743, 104, 744, 349) = 1.

Find GCD of 743, 104, 744, 349 using Prime Factorization

Given numbers are 743, 104, 744, 349

The list of prime factors of all numbers are

Prime factors of 743 are 743

Prime factors of 104 are 2 x 2 x 2 x 13

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

Prime factors of 349 are 349

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

Steps to Calculate GCD of 743, 104, 744, 349 using LCM Formula

Given numbers are 743, 104, 744, 349

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

Apply this formula for all numbers.

Step1:

LCM(743, 104) = 77272

GCD(743, 104) = ( 743 x 104 ) / 77272

= 743 / 104

= 743


Step2:

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

= 1 / 744

= 1


Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1


So, Greatest Common Divisor of 743, 104, 744, 349 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 743, 104, 744, 349

Given numbers are 743, 104, 744, 349
The greatest common divisor of numbers 743, 104, 744, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 743, 104, 744, 349 is 1.

FAQs on GCD of 743, 104, 744, 349 Calculator

1. What is the GCD of 743, 104, 744, 349?

GCD of given numbers 743, 104, 744, 349 is 1


2. How to calculate the greatest common divisor of 743, 104, 744, 349?

We can find the highest common divisor of 743, 104, 744, 349 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 743, 104, 744, 349 i.e 1.


3. How can I use the GCD of 743, 104, 744, 349Calculator?

Out the numbers 743, 104, 744, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.