GCD of 871, 104, 980 Calculator

Given Input numbers are 871, 104, 980

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

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

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 871, 104, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 104, 980 is 1.

Therefore, GCD of numbers 871, 104, 980 is 1

Given Input Data is 871, 104, 980

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 104 is 2 x 2 x 2 x 13

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(871, 104) = 6968

GCD(871, 104) = ( 871 x 104 ) / 6968

GCD(871, 104) = 90584 / 6968

GCD(871, 104) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 980

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

LCM(13, 980) = 12740

GCD(13, 980) = ( 13 x 980 ) / 12740

GCD(13, 980) = 12740 / 12740

GCD(13, 980) = 1

GCD of 871, 104, 980 is 1

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1. What is the GCD of 871, 104, 980?

GCD of 871, 104, 980 is 1

2. Where do I get the detailed procedure to find GCD of 871, 104, 980?

You can find a detailed procedure to find GCD of 871, 104, 980 on our page.

3. How to find GCD of 871, 104, 980 on a calculator?

You can find the GCD of 871, 104, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.