GCD of 980, 517, 904, 446 Calculator

Given Input numbers are 980, 517, 904, 446

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 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 980, 517, 904, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 517, 904, 446 is 1.

Therefore, GCD of numbers 980, 517, 904, 446 is 1

Given Input Data is 980, 517, 904, 446

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 517 is 11 x 47

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 446 is 2 x 223

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, 517) = 506660

GCD(980, 517) = ( 980 x 517 ) / 506660

GCD(980, 517) = 506660 / 506660

GCD(980, 517) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 904

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

LCM(1, 904) = 904

GCD(1, 904) = ( 1 x 904 ) / 904

GCD(1, 904) = 904 / 904

GCD(1, 904) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 980, 517, 904, 446 is 1

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1. What is the GCD of 980, 517, 904, 446?

GCD of 980, 517, 904, 446 is 1

2. Where do I get the detailed procedure to find GCD of 980, 517, 904, 446?

You can find a detailed procedure to find GCD of 980, 517, 904, 446 on our page.

3. How to find GCD of 980, 517, 904, 446 on a calculator?

You can find the GCD of 980, 517, 904, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.