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GCD of 492, 474, 212, 996 Calculator

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


Online GCD Calculator is useful to find the GCD of 492, 474, 212, 996 quickly. Get the easiest ways to solve the greatest common divisor of 492, 474, 212, 996 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 492, 474, 212, 996 with Factoring?

Given Input numbers are 492, 474, 212, 996

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996


GCD of numbers is the greatest common divisor

So, the GCD (492, 474, 212, 996) = 2.

Find GCD of 492, 474, 212, 996 using Prime Factorization

Given numbers are 492, 474, 212, 996

The list of prime factors of all numbers are

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 474 are 2 x 3 x 79

Prime factors of 212 are 2 x 2 x 53

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 21

Therefore, GCD of 492, 474, 212, 996 is 2.

Steps to Calculate GCD of 492, 474, 212, 996 using LCM Formula

Given numbers are 492, 474, 212, 996

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

Apply this formula for all numbers.

Step1:

LCM(492, 474) = 38868

GCD(492, 474) = ( 492 x 474 ) / 38868

= 492 / 474

= 492


Step2:

LCM(6, 212) = 636

GCD(6, 212) = ( 6 x 212 ) / 636

= 6 / 212

= 6


Step3:

LCM(2, 996) = 996

GCD(2, 996) = ( 2 x 996 ) / 996

= 2 / 996

= 2


So, Greatest Common Divisor of 492, 474, 212, 996 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 492, 474, 212, 996

Given numbers are 492, 474, 212, 996
The greatest common divisor of numbers 492, 474, 212, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 474, 212, 996 is 2.

FAQs on GCD of 492, 474, 212, 996 Calculator

1. What is the GCD of 492, 474, 212, 996?

GCD of given numbers 492, 474, 212, 996 is 2


2. How to calculate the greatest common divisor of 492, 474, 212, 996?

We can find the highest common divisor of 492, 474, 212, 996 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 492, 474, 212, 996 i.e 2.


3. How can I use the GCD of 492, 474, 212, 996Calculator?

Out the numbers 492, 474, 212, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.