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GCD of 280, 482, 400, 908 Calculator

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


Online GCD Calculator is useful to find the GCD of 280, 482, 400, 908 quickly. Get the easiest ways to solve the greatest common divisor of 280, 482, 400, 908 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 280, 482, 400, 908 with Factoring?

Given Input numbers are 280, 482, 400, 908

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 482 :

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

1, 2, 241, 482

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 908 :

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

1, 2, 4, 227, 454, 908


GCD of numbers is the greatest common divisor

So, the GCD (280, 482, 400, 908) = 2.

Find GCD of 280, 482, 400, 908 using Prime Factorization

Given numbers are 280, 482, 400, 908

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 482 are 2 x 241

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 908 are 2 x 2 x 227

The highest common occurrence is 21

Therefore, GCD of 280, 482, 400, 908 is 2.

Steps to Calculate GCD of 280, 482, 400, 908 using LCM Formula

Given numbers are 280, 482, 400, 908

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

Apply this formula for all numbers.

Step1:

LCM(280, 482) = 67480

GCD(280, 482) = ( 280 x 482 ) / 67480

= 280 / 482

= 280


Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2


Step3:

LCM(2, 908) = 908

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

= 2 / 908

= 2


So, Greatest Common Divisor of 280, 482, 400, 908 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 280, 482, 400, 908

Given numbers are 280, 482, 400, 908
The greatest common divisor of numbers 280, 482, 400, 908 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 482, 400, 908 is 2.

FAQs on GCD of 280, 482, 400, 908 Calculator

1. What is the GCD of 280, 482, 400, 908?

GCD of given numbers 280, 482, 400, 908 is 2


2. How to calculate the greatest common divisor of 280, 482, 400, 908?

We can find the highest common divisor of 280, 482, 400, 908 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 280, 482, 400, 908 i.e 2.


3. How can I use the GCD of 280, 482, 400, 908Calculator?

Out the numbers 280, 482, 400, 908 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.