GCD of 283, 319, 25, 980 Calculator

Given Input numbers are 283, 319, 25, 980

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

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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 283, 319, 25, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 319, 25, 980 is 1.

Therefore, GCD of numbers 283, 319, 25, 980 is 1

Given Input Data is 283, 319, 25, 980

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

Prime Factorization of 283 is 283

Prime Factorization of 319 is 11 x 29

Prime Factorization of 25 is 5 x 5

Prime Factorization of 980 is 2 x 2 x 5 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(283, 319) = 90277

GCD(283, 319) = ( 283 x 319 ) / 90277

GCD(283, 319) = 90277 / 90277

GCD(283, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 980

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

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

GCD(1, 980) = 980 / 980

GCD(1, 980) = 1

GCD of 283, 319, 25, 980 is 1

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1. What is the GCD of 283, 319, 25, 980?

GCD of 283, 319, 25, 980 is 1

2. Where do I get the detailed procedure to find GCD of 283, 319, 25, 980?

You can find a detailed procedure to find GCD of 283, 319, 25, 980 on our page.

3. How to find GCD of 283, 319, 25, 980 on a calculator?

You can find the GCD of 283, 319, 25, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.