GCD of 989, 472, 85, 584 Calculator

Given Input numbers are 989, 472, 85, 584

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

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 989, 472, 85, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 989, 472, 85, 584 is 1.

Therefore, GCD of numbers 989, 472, 85, 584 is 1

Given Input Data is 989, 472, 85, 584

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

Prime Factorization of 989 is 23 x 43

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 85 is 5 x 17

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(989, 472) = 466808

GCD(989, 472) = ( 989 x 472 ) / 466808

GCD(989, 472) = 466808 / 466808

GCD(989, 472) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 989, 472, 85, 584 is 1

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1. What is the GCD of 989, 472, 85, 584?

GCD of 989, 472, 85, 584 is 1

2. Where do I get the detailed procedure to find GCD of 989, 472, 85, 584?

You can find a detailed procedure to find GCD of 989, 472, 85, 584 on our page.

3. How to find GCD of 989, 472, 85, 584 on a calculator?

You can find the GCD of 989, 472, 85, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.