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GCD of 718, 398, 320, 764 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, 398, 320, 764 quickly. Get the easiest ways to solve the greatest common divisor of 718, 398, 320, 764 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 718, 398, 320, 764 with Factoring?

Given Input numbers are 718, 398, 320, 764

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764


GCD of numbers is the greatest common divisor

So, the GCD (718, 398, 320, 764) = 2.

Find GCD of 718, 398, 320, 764 using Prime Factorization

Given numbers are 718, 398, 320, 764

The list of prime factors of all numbers are

Prime factors of 718 are 2 x 359

Prime factors of 398 are 2 x 199

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 21

Therefore, GCD of 718, 398, 320, 764 is 2.

Steps to Calculate GCD of 718, 398, 320, 764 using LCM Formula

Given numbers are 718, 398, 320, 764

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

Apply this formula for all numbers.

Step1:

LCM(718, 398) = 142882

GCD(718, 398) = ( 718 x 398 ) / 142882

= 718 / 398

= 718


Step2:

LCM(2, 320) = 320

GCD(2, 320) = ( 2 x 320 ) / 320

= 2 / 320

= 2


Step3:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2


So, Greatest Common Divisor of 718, 398, 320, 764 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 718, 398, 320, 764

Given numbers are 718, 398, 320, 764
The greatest common divisor of numbers 718, 398, 320, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 398, 320, 764 is 2.

FAQs on GCD of 718, 398, 320, 764 Calculator

1. What is the GCD of 718, 398, 320, 764?

GCD of given numbers 718, 398, 320, 764 is 2


2. How to calculate the greatest common divisor of 718, 398, 320, 764?

We can find the highest common divisor of 718, 398, 320, 764 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, 398, 320, 764 i.e 2.


3. How can I use the GCD of 718, 398, 320, 764Calculator?

Out the numbers 718, 398, 320, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.