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GCD of 112, 498, 924 Calculator

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


Online GCD Calculator is useful to find the GCD of 112, 498, 924 quickly. Get the easiest ways to solve the greatest common divisor of 112, 498, 924 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 112, 498, 924 with Factoring?

Given Input numbers are 112, 498, 924

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924


GCD of numbers is the greatest common divisor

So, the GCD (112, 498, 924) = 2.

Find GCD of 112, 498, 924 using Prime Factorization

Given numbers are 112, 498, 924

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 498 are 2 x 3 x 83

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 21

Therefore, GCD of 112, 498, 924 is 2.

Steps to Calculate GCD of 112, 498, 924 using LCM Formula

Given numbers are 112, 498, 924

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

Apply this formula for all numbers.

Step1:

LCM(112, 498) = 27888

GCD(112, 498) = ( 112 x 498 ) / 27888

= 112 / 498

= 112


Step2:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2


So, Greatest Common Divisor of 112, 498, 924 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 112, 498, 924

Given numbers are 112, 498, 924
The greatest common divisor of numbers 112, 498, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 498, 924 is 2.

FAQs on GCD of 112, 498, 924 Calculator

1. What is the GCD of 112, 498, 924?

GCD of given numbers 112, 498, 924 is 2


2. How to calculate the greatest common divisor of 112, 498, 924?

We can find the highest common divisor of 112, 498, 924 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 112, 498, 924 i.e 2.


3. How can I use the GCD of 112, 498, 924Calculator?

Out the numbers 112, 498, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.