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GCD of 718, 392, 120, 493 Calculator

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


Online GCD Calculator is useful to find the GCD of 718, 392, 120, 493 quickly. Get the easiest ways to solve the greatest common divisor of 718, 392, 120, 493 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 718, 392, 120, 493 with Factoring?

Given Input numbers are 718, 392, 120, 493

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493


GCD of numbers is the greatest common divisor

So, the GCD (718, 392, 120, 493) = 1.

Find GCD of 718, 392, 120, 493 using Prime Factorization

Given numbers are 718, 392, 120, 493

The list of prime factors of all numbers are

Prime factors of 718 are 2 x 359

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 493 are 17 x 29

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

Steps to Calculate GCD of 718, 392, 120, 493 using LCM Formula

Given numbers are 718, 392, 120, 493

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

Apply this formula for all numbers.

Step1:

LCM(718, 392) = 140728

GCD(718, 392) = ( 718 x 392 ) / 140728

= 718 / 392

= 718


Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2


Step3:

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

= 2 / 493

= 2


So, Greatest Common Divisor of 718, 392, 120, 493 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 718, 392, 120, 493

Given numbers are 718, 392, 120, 493
The greatest common divisor of numbers 718, 392, 120, 493 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 392, 120, 493 is 1.

FAQs on GCD of 718, 392, 120, 493 Calculator

1. What is the GCD of 718, 392, 120, 493?

GCD of given numbers 718, 392, 120, 493 is 1


2. How to calculate the greatest common divisor of 718, 392, 120, 493?

We can find the highest common divisor of 718, 392, 120, 493 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 718, 392, 120, 493 i.e 1.


3. How can I use the GCD of 718, 392, 120, 493Calculator?

Out the numbers 718, 392, 120, 493 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.