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GCD of 12, 92, 92, 84 Calculator

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


Online GCD Calculator is useful to find the GCD of 12, 92, 92, 84 quickly. Get the easiest ways to solve the greatest common divisor of 12, 92, 92, 84 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 12, 92, 92, 84 with Factoring?

Given Input numbers are 12, 92, 92, 84

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

Divisors of 12 :

The positive integer divisors of 12 that completely divides 12 are.

1, 2, 3, 4, 6, 12

Divisors of 92 :

The positive integer divisors of 92 that completely divides 92 are.

1, 2, 4, 23, 46, 92

Divisors of 92 :

The positive integer divisors of 92 that completely divides 92 are.

1, 2, 4, 23, 46, 92

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84


GCD of numbers is the greatest common divisor

So, the GCD (12, 92, 92, 84) = 4.

Find GCD of 12, 92, 92, 84 using Prime Factorization

Given numbers are 12, 92, 92, 84

The list of prime factors of all numbers are

Prime factors of 12 are 2 x 2 x 3

Prime factors of 92 are 2 x 2 x 23

Prime factors of 92 are 2 x 2 x 23

Prime factors of 84 are 2 x 2 x 3 x 7

The highest common occurrence is 22

Therefore, GCD of 12, 92, 92, 84 is 4.

Steps to Calculate GCD of 12, 92, 92, 84 using LCM Formula

Given numbers are 12, 92, 92, 84

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

Apply this formula for all numbers.

Step1:

LCM(12, 92) = 276

GCD(12, 92) = ( 12 x 92 ) / 276

= 12 / 92

= 12


Step2:

LCM(4, 92) = 92

GCD(4, 92) = ( 4 x 92 ) / 92

= 4 / 92

= 4


Step3:

LCM(4, 84) = 84

GCD(4, 84) = ( 4 x 84 ) / 84

= 4 / 84

= 4


So, Greatest Common Divisor of 12, 92, 92, 84 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 12, 92, 92, 84

Given numbers are 12, 92, 92, 84
The greatest common divisor of numbers 12, 92, 92, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 12, 92, 92, 84 is 4.

FAQs on GCD of 12, 92, 92, 84 Calculator

1. What is the GCD of 12, 92, 92, 84?

GCD of given numbers 12, 92, 92, 84 is 4


2. How to calculate the greatest common divisor of 12, 92, 92, 84?

We can find the highest common divisor of 12, 92, 92, 84 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 12, 92, 92, 84 i.e 4.


3. How can I use the GCD of 12, 92, 92, 84Calculator?

Out the numbers 12, 92, 92, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.