GCD of 418, 502, 980, 215 Calculator

Given Input numbers are 418, 502, 980, 215

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

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Greatest Common Divisior

We found the divisors of 418, 502, 980, 215 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 418, 502, 980, 215 is 1.

Therefore, GCD of numbers 418, 502, 980, 215 is 1

Given Input Data is 418, 502, 980, 215

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

Prime Factorization of 418 is 2 x 11 x 19

Prime Factorization of 502 is 2 x 251

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

Prime Factorization of 215 is 5 x 43

The above numbers do not have any common prime factor. So GCD is 1

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(418, 502) = 104918

GCD(418, 502) = ( 418 x 502 ) / 104918

GCD(418, 502) = 209836 / 104918

GCD(418, 502) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 215

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

LCM(2, 215) = 430

GCD(2, 215) = ( 2 x 215 ) / 430

GCD(2, 215) = 430 / 430

GCD(2, 215) = 1

GCD of 418, 502, 980, 215 is 1

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1. What is the GCD of 418, 502, 980, 215?

GCD of 418, 502, 980, 215 is 1

2. Where do I get the detailed procedure to find GCD of 418, 502, 980, 215?

You can find a detailed procedure to find GCD of 418, 502, 980, 215 on our page.

3. How to find GCD of 418, 502, 980, 215 on a calculator?

You can find the GCD of 418, 502, 980, 215 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.