GCD of 458, 808, 634, 980 Calculator

Given Input numbers are 458, 808, 634, 980

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Greatest Common Divisior

We found the divisors of 458, 808, 634, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 458, 808, 634, 980 is 2.

Therefore, GCD of numbers 458, 808, 634, 980 is 2

Given Input Data is 458, 808, 634, 980

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 458 is 2 x 229

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 634 is 2 x 317

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

Step1:

Let's calculate the GCD of first two numbers

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

LCM(458, 808) = 185032

GCD(458, 808) = ( 458 x 808 ) / 185032

GCD(458, 808) = 370064 / 185032

GCD(458, 808) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 980

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

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

GCD(2, 980) = 1960 / 980

GCD(2, 980) = 2

GCD of 458, 808, 634, 980 is 2

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1. What is the GCD of 458, 808, 634, 980?

GCD of 458, 808, 634, 980 is 2

2. Where do I get the detailed procedure to find GCD of 458, 808, 634, 980?

You can find a detailed procedure to find GCD of 458, 808, 634, 980 on our page.

3. How to find GCD of 458, 808, 634, 980 on a calculator?

You can find the GCD of 458, 808, 634, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.