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GCD of 744, 992, 798, 729 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, 992, 798, 729 quickly. Get the easiest ways to solve the greatest common divisor of 744, 992, 798, 729 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 744, 992, 798, 729 with Factoring?

Given Input numbers are 744, 992, 798, 729

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 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729


GCD of numbers is the greatest common divisor

So, the GCD (744, 992, 798, 729) = 1.

Find GCD of 744, 992, 798, 729 using Prime Factorization

Given numbers are 744, 992, 798, 729

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 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 744, 992, 798, 729 using LCM Formula

Given numbers are 744, 992, 798, 729

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

Apply this formula for all numbers.

Step1:

LCM(744, 992) = 2976

GCD(744, 992) = ( 744 x 992 ) / 2976

= 744 / 992

= 744


Step2:

LCM(248, 798) = 98952

GCD(248, 798) = ( 248 x 798 ) / 98952

= 248 / 798

= 248


Step3:

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

= 2 / 729

= 2


So, Greatest Common Divisor of 744, 992, 798, 729 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 744, 992, 798, 729

Given numbers are 744, 992, 798, 729
The greatest common divisor of numbers 744, 992, 798, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 992, 798, 729 is 1.

FAQs on GCD of 744, 992, 798, 729 Calculator

1. What is the GCD of 744, 992, 798, 729?

GCD of given numbers 744, 992, 798, 729 is 1


2. How to calculate the greatest common divisor of 744, 992, 798, 729?

We can find the highest common divisor of 744, 992, 798, 729 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, 992, 798, 729 i.e 1.


3. How can I use the GCD of 744, 992, 798, 729Calculator?

Out the numbers 744, 992, 798, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.