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GCD of 792, 668, 180, 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 792, 668, 180, 992 quickly. Get the easiest ways to solve the greatest common divisor of 792, 668, 180, 992 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 792, 668, 180, 992 with Factoring?

Given Input numbers are 792, 668, 180, 992

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 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 (792, 668, 180, 992) = 4.

Find GCD of 792, 668, 180, 992 using Prime Factorization

Given numbers are 792, 668, 180, 992

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 668 are 2 x 2 x 167

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

The highest common occurrence is 22

Therefore, GCD of 792, 668, 180, 992 is 4.

Steps to Calculate GCD of 792, 668, 180, 992 using LCM Formula

Given numbers are 792, 668, 180, 992

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

Apply this formula for all numbers.

Step1:

LCM(792, 668) = 132264

GCD(792, 668) = ( 792 x 668 ) / 132264

= 792 / 668

= 792


Step2:

LCM(4, 180) = 180

GCD(4, 180) = ( 4 x 180 ) / 180

= 4 / 180

= 4


Step3:

LCM(4, 992) = 992

GCD(4, 992) = ( 4 x 992 ) / 992

= 4 / 992

= 4


So, Greatest Common Divisor of 792, 668, 180, 992 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 792, 668, 180, 992

Given numbers are 792, 668, 180, 992
The greatest common divisor of numbers 792, 668, 180, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 668, 180, 992 is 4.

FAQs on GCD of 792, 668, 180, 992 Calculator

1. What is the GCD of 792, 668, 180, 992?

GCD of given numbers 792, 668, 180, 992 is 4


2. How to calculate the greatest common divisor of 792, 668, 180, 992?

We can find the highest common divisor of 792, 668, 180, 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 792, 668, 180, 992 i.e 4.


3. How can I use the GCD of 792, 668, 180, 992Calculator?

Out the numbers 792, 668, 180, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.