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GCD of 482, 422, 508, 854 Calculator

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


Online GCD Calculator is useful to find the GCD of 482, 422, 508, 854 quickly. Get the easiest ways to solve the greatest common divisor of 482, 422, 508, 854 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 482, 422, 508, 854 with Factoring?

Given Input numbers are 482, 422, 508, 854

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

Divisors of 482 :

The positive integer divisors of 482 that completely divides 482 are.

1, 2, 241, 482

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854


GCD of numbers is the greatest common divisor

So, the GCD (482, 422, 508, 854) = 2.

Find GCD of 482, 422, 508, 854 using Prime Factorization

Given numbers are 482, 422, 508, 854

The list of prime factors of all numbers are

Prime factors of 482 are 2 x 241

Prime factors of 422 are 2 x 211

Prime factors of 508 are 2 x 2 x 127

Prime factors of 854 are 2 x 7 x 61

The highest common occurrence is 21

Therefore, GCD of 482, 422, 508, 854 is 2.

Steps to Calculate GCD of 482, 422, 508, 854 using LCM Formula

Given numbers are 482, 422, 508, 854

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

Apply this formula for all numbers.

Step1:

LCM(482, 422) = 101702

GCD(482, 422) = ( 482 x 422 ) / 101702

= 482 / 422

= 482


Step2:

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

= 2 / 508

= 2


Step3:

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

= 2 / 854

= 2


So, Greatest Common Divisor of 482, 422, 508, 854 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 482, 422, 508, 854

Given numbers are 482, 422, 508, 854
The greatest common divisor of numbers 482, 422, 508, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 482, 422, 508, 854 is 2.

FAQs on GCD of 482, 422, 508, 854 Calculator

1. What is the GCD of 482, 422, 508, 854?

GCD of given numbers 482, 422, 508, 854 is 2


2. How to calculate the greatest common divisor of 482, 422, 508, 854?

We can find the highest common divisor of 482, 422, 508, 854 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 482, 422, 508, 854 i.e 2.


3. How can I use the GCD of 482, 422, 508, 854Calculator?

Out the numbers 482, 422, 508, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.