GCD of 980, 415, 871, 471 Calculator

Given Input numbers are 980, 415, 871, 471

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

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 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 871

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

1, 13, 67, 871

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 980, 415, 871, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 415, 871, 471 is 1.

Therefore, GCD of numbers 980, 415, 871, 471 is 1

Given Input Data is 980, 415, 871, 471

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

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 871 is 13 x 67

Prime Factorization of 471 is 3 x 157

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(980, 415) = 81340

GCD(980, 415) = ( 980 x 415 ) / 81340

GCD(980, 415) = 406700 / 81340

GCD(980, 415) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 871

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

LCM(5, 871) = 4355

GCD(5, 871) = ( 5 x 871 ) / 4355

GCD(5, 871) = 4355 / 4355

GCD(5, 871) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 980, 415, 871, 471 is 1

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1. What is the GCD of 980, 415, 871, 471?

GCD of 980, 415, 871, 471 is 1

2. Where do I get the detailed procedure to find GCD of 980, 415, 871, 471?

You can find a detailed procedure to find GCD of 980, 415, 871, 471 on our page.

3. How to find GCD of 980, 415, 871, 471 on a calculator?

You can find the GCD of 980, 415, 871, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.