LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 792, 722, 438, 749 Calculator

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


Online GCD Calculator is useful to find the GCD of 792, 722, 438, 749 quickly. Get the easiest ways to solve the greatest common divisor of 792, 722, 438, 749 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 792, 722, 438, 749 with Factoring?

Given Input numbers are 792, 722, 438, 749

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

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749


GCD of numbers is the greatest common divisor

So, the GCD (792, 722, 438, 749) = 1.

Find GCD of 792, 722, 438, 749 using Prime Factorization

Given numbers are 792, 722, 438, 749

The list of prime factors of all numbers are

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 722 are 2 x 19 x 19

Prime factors of 438 are 2 x 3 x 73

Prime factors of 749 are 7 x 107

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

Steps to Calculate GCD of 792, 722, 438, 749 using LCM Formula

Given numbers are 792, 722, 438, 749

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

Apply this formula for all numbers.

Step1:

LCM(792, 722) = 285912

GCD(792, 722) = ( 792 x 722 ) / 285912

= 792 / 722

= 792


Step2:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2


Step3:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2


So, Greatest Common Divisor of 792, 722, 438, 749 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 792, 722, 438, 749

Given numbers are 792, 722, 438, 749
The greatest common divisor of numbers 792, 722, 438, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 722, 438, 749 is 1.

FAQs on GCD of 792, 722, 438, 749 Calculator

1. What is the GCD of 792, 722, 438, 749?

GCD of given numbers 792, 722, 438, 749 is 1


2. How to calculate the greatest common divisor of 792, 722, 438, 749?

We can find the highest common divisor of 792, 722, 438, 749 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 792, 722, 438, 749 i.e 1.


3. How can I use the GCD of 792, 722, 438, 749Calculator?

Out the numbers 792, 722, 438, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.