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GCD of 842, 908, 348, 456 Calculator

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


Online GCD Calculator is useful to find the GCD of 842, 908, 348, 456 quickly. Get the easiest ways to solve the greatest common divisor of 842, 908, 348, 456 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 842, 908, 348, 456 with Factoring?

Given Input numbers are 842, 908, 348, 456

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 908 :

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

1, 2, 4, 227, 454, 908

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456


GCD of numbers is the greatest common divisor

So, the GCD (842, 908, 348, 456) = 2.

Find GCD of 842, 908, 348, 456 using Prime Factorization

Given numbers are 842, 908, 348, 456

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 908 are 2 x 2 x 227

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

The highest common occurrence is 21

Therefore, GCD of 842, 908, 348, 456 is 2.

Steps to Calculate GCD of 842, 908, 348, 456 using LCM Formula

Given numbers are 842, 908, 348, 456

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

Apply this formula for all numbers.

Step1:

LCM(842, 908) = 382268

GCD(842, 908) = ( 842 x 908 ) / 382268

= 842 / 908

= 842


Step2:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2


Step3:

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

= 2 / 456

= 2


So, Greatest Common Divisor of 842, 908, 348, 456 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 842, 908, 348, 456

Given numbers are 842, 908, 348, 456
The greatest common divisor of numbers 842, 908, 348, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 908, 348, 456 is 2.

FAQs on GCD of 842, 908, 348, 456 Calculator

1. What is the GCD of 842, 908, 348, 456?

GCD of given numbers 842, 908, 348, 456 is 2


2. How to calculate the greatest common divisor of 842, 908, 348, 456?

We can find the highest common divisor of 842, 908, 348, 456 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 842, 908, 348, 456 i.e 2.


3. How can I use the GCD of 842, 908, 348, 456Calculator?

Out the numbers 842, 908, 348, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.