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GCD of 358, 342, 908, 384 Calculator

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


Online GCD Calculator is useful to find the GCD of 358, 342, 908, 384 quickly. Get the easiest ways to solve the greatest common divisor of 358, 342, 908, 384 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 358, 342, 908, 384 with Factoring?

Given Input numbers are 358, 342, 908, 384

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384


GCD of numbers is the greatest common divisor

So, the GCD (358, 342, 908, 384) = 2.

Find GCD of 358, 342, 908, 384 using Prime Factorization

Given numbers are 358, 342, 908, 384

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 908 are 2 x 2 x 227

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 21

Therefore, GCD of 358, 342, 908, 384 is 2.

Steps to Calculate GCD of 358, 342, 908, 384 using LCM Formula

Given numbers are 358, 342, 908, 384

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

Apply this formula for all numbers.

Step1:

LCM(358, 342) = 61218

GCD(358, 342) = ( 358 x 342 ) / 61218

= 358 / 342

= 358


Step2:

LCM(2, 908) = 908

GCD(2, 908) = ( 2 x 908 ) / 908

= 2 / 908

= 2


Step3:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2


So, Greatest Common Divisor of 358, 342, 908, 384 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 358, 342, 908, 384

Given numbers are 358, 342, 908, 384
The greatest common divisor of numbers 358, 342, 908, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 342, 908, 384 is 2.

FAQs on GCD of 358, 342, 908, 384 Calculator

1. What is the GCD of 358, 342, 908, 384?

GCD of given numbers 358, 342, 908, 384 is 2


2. How to calculate the greatest common divisor of 358, 342, 908, 384?

We can find the highest common divisor of 358, 342, 908, 384 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 358, 342, 908, 384 i.e 2.


3. How can I use the GCD of 358, 342, 908, 384Calculator?

Out the numbers 358, 342, 908, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.