GCD of 285, 980, 294 Calculator

Given Input numbers are 285, 980, 294

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 285, 980, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 980, 294 is 1.

Therefore, GCD of numbers 285, 980, 294 is 1

Given Input Data is 285, 980, 294

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

Prime Factorization of 285 is 3 x 5 x 19

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(285, 980) = 55860

GCD(285, 980) = ( 285 x 980 ) / 55860

GCD(285, 980) = 279300 / 55860

GCD(285, 980) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 294

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

LCM(5, 294) = 1470

GCD(5, 294) = ( 5 x 294 ) / 1470

GCD(5, 294) = 1470 / 1470

GCD(5, 294) = 1

GCD of 285, 980, 294 is 1

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1. What is the GCD of 285, 980, 294?

GCD of 285, 980, 294 is 1

2. Where do I get the detailed procedure to find GCD of 285, 980, 294?

You can find a detailed procedure to find GCD of 285, 980, 294 on our page.

3. How to find GCD of 285, 980, 294 on a calculator?

You can find the GCD of 285, 980, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.