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GCD of 392, 793, 314, 738 Calculator

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


Online GCD Calculator is useful to find the GCD of 392, 793, 314, 738 quickly. Get the easiest ways to solve the greatest common divisor of 392, 793, 314, 738 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 392, 793, 314, 738 with Factoring?

Given Input numbers are 392, 793, 314, 738

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

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 793 :

The positive integer divisors of 793 that completely divides 793 are.

1, 13, 61, 793

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

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


GCD of numbers is the greatest common divisor

So, the GCD (392, 793, 314, 738) = 1.

Find GCD of 392, 793, 314, 738 using Prime Factorization

Given numbers are 392, 793, 314, 738

The list of prime factors of all numbers are

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 793 are 13 x 61

Prime factors of 314 are 2 x 157

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

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

Steps to Calculate GCD of 392, 793, 314, 738 using LCM Formula

Given numbers are 392, 793, 314, 738

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

Apply this formula for all numbers.

Step1:

LCM(392, 793) = 310856

GCD(392, 793) = ( 392 x 793 ) / 310856

= 392 / 793

= 392


Step2:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1


Step3:

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

= 1 / 738

= 1


So, Greatest Common Divisor of 392, 793, 314, 738 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 392, 793, 314, 738

Given numbers are 392, 793, 314, 738
The greatest common divisor of numbers 392, 793, 314, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 392, 793, 314, 738 is 1.

FAQs on GCD of 392, 793, 314, 738 Calculator

1. What is the GCD of 392, 793, 314, 738?

GCD of given numbers 392, 793, 314, 738 is 1


2. How to calculate the greatest common divisor of 392, 793, 314, 738?

We can find the highest common divisor of 392, 793, 314, 738 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 392, 793, 314, 738 i.e 1.


3. How can I use the GCD of 392, 793, 314, 738Calculator?

Out the numbers 392, 793, 314, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.