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GCD of 904, 352, 918 Calculator

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


Online GCD Calculator is useful to find the GCD of 904, 352, 918 quickly. Get the easiest ways to solve the greatest common divisor of 904, 352, 918 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 904, 352, 918 with Factoring?

Given Input numbers are 904, 352, 918

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

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918


GCD of numbers is the greatest common divisor

So, the GCD (904, 352, 918) = 2.

Find GCD of 904, 352, 918 using Prime Factorization

Given numbers are 904, 352, 918

The list of prime factors of all numbers are

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 21

Therefore, GCD of 904, 352, 918 is 2.

Steps to Calculate GCD of 904, 352, 918 using LCM Formula

Given numbers are 904, 352, 918

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

Apply this formula for all numbers.

Step1:

LCM(904, 352) = 39776

GCD(904, 352) = ( 904 x 352 ) / 39776

= 904 / 352

= 904


Step2:

LCM(8, 918) = 3672

GCD(8, 918) = ( 8 x 918 ) / 3672

= 8 / 918

= 8


So, Greatest Common Divisor of 904, 352, 918 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 904, 352, 918

Given numbers are 904, 352, 918
The greatest common divisor of numbers 904, 352, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 904, 352, 918 is 2.

FAQs on GCD of 904, 352, 918 Calculator

1. What is the GCD of 904, 352, 918?

GCD of given numbers 904, 352, 918 is 2


2. How to calculate the greatest common divisor of 904, 352, 918?

We can find the highest common divisor of 904, 352, 918 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 904, 352, 918 i.e 2.


3. How can I use the GCD of 904, 352, 918Calculator?

Out the numbers 904, 352, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.