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GCD of 326, 752, 18, 992 Calculator

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


Online GCD Calculator is useful to find the GCD of 326, 752, 18, 992 quickly. Get the easiest ways to solve the greatest common divisor of 326, 752, 18, 992 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 326, 752, 18, 992 with Factoring?

Given Input numbers are 326, 752, 18, 992

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

Divisors of 326 :

The positive integer divisors of 326 that completely divides 326 are.

1, 2, 163, 326

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

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


GCD of numbers is the greatest common divisor

So, the GCD (326, 752, 18, 992) = 2.

Find GCD of 326, 752, 18, 992 using Prime Factorization

Given numbers are 326, 752, 18, 992

The list of prime factors of all numbers are

Prime factors of 326 are 2 x 163

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 18 are 2 x 3 x 3

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 21

Therefore, GCD of 326, 752, 18, 992 is 2.

Steps to Calculate GCD of 326, 752, 18, 992 using LCM Formula

Given numbers are 326, 752, 18, 992

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

Apply this formula for all numbers.

Step1:

LCM(326, 752) = 122576

GCD(326, 752) = ( 326 x 752 ) / 122576

= 326 / 752

= 326


Step2:

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

= 2 / 18

= 2


Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2


So, Greatest Common Divisor of 326, 752, 18, 992 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 326, 752, 18, 992

Given numbers are 326, 752, 18, 992
The greatest common divisor of numbers 326, 752, 18, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 326, 752, 18, 992 is 2.

FAQs on GCD of 326, 752, 18, 992 Calculator

1. What is the GCD of 326, 752, 18, 992?

GCD of given numbers 326, 752, 18, 992 is 2


2. How to calculate the greatest common divisor of 326, 752, 18, 992?

We can find the highest common divisor of 326, 752, 18, 992 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 326, 752, 18, 992 i.e 2.


3. How can I use the GCD of 326, 752, 18, 992Calculator?

Out the numbers 326, 752, 18, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.