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GCD of 472, 874, 18 Calculator

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


Online GCD Calculator is useful to find the GCD of 472, 874, 18 quickly. Get the easiest ways to solve the greatest common divisor of 472, 874, 18 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 472, 874, 18 with Factoring?

Given Input numbers are 472, 874, 18

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 18 :

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

1, 2, 3, 6, 9, 18


GCD of numbers is the greatest common divisor

So, the GCD (472, 874, 18) = 2.

Find GCD of 472, 874, 18 using Prime Factorization

Given numbers are 472, 874, 18

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 874 are 2 x 19 x 23

Prime factors of 18 are 2 x 3 x 3

The highest common occurrence is 21

Therefore, GCD of 472, 874, 18 is 2.

Steps to Calculate GCD of 472, 874, 18 using LCM Formula

Given numbers are 472, 874, 18

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

Apply this formula for all numbers.

Step1:

LCM(472, 874) = 206264

GCD(472, 874) = ( 472 x 874 ) / 206264

= 472 / 874

= 472


Step2:

LCM(2, 18) = 18

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

= 2 / 18

= 2


So, Greatest Common Divisor of 472, 874, 18 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 472, 874, 18

Given numbers are 472, 874, 18
The greatest common divisor of numbers 472, 874, 18 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 874, 18 is 2.

FAQs on GCD of 472, 874, 18 Calculator

1. What is the GCD of 472, 874, 18?

GCD of given numbers 472, 874, 18 is 2


2. How to calculate the greatest common divisor of 472, 874, 18?

We can find the highest common divisor of 472, 874, 18 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 472, 874, 18 i.e 2.


3. How can I use the GCD of 472, 874, 18Calculator?

Out the numbers 472, 874, 18 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.