GCD of 412, 585, 985, 991 Calculator

Given Input numbers are 412, 585, 985, 991

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

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 412, 585, 985, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 585, 985, 991 is 1.

Therefore, GCD of numbers 412, 585, 985, 991 is 1

Given Input Data is 412, 585, 985, 991

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 985 is 5 x 197

Prime Factorization of 991 is 991

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(412, 585) = 241020

GCD(412, 585) = ( 412 x 585 ) / 241020

GCD(412, 585) = 241020 / 241020

GCD(412, 585) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 985

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

LCM(1, 985) = 985

GCD(1, 985) = ( 1 x 985 ) / 985

GCD(1, 985) = 985 / 985

GCD(1, 985) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 412, 585, 985, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 633, 429, 430
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• GCD of 405, 613, 792, 355

1. What is the GCD of 412, 585, 985, 991?

GCD of 412, 585, 985, 991 is 1

2. Where do I get the detailed procedure to find GCD of 412, 585, 985, 991?

You can find a detailed procedure to find GCD of 412, 585, 985, 991 on our page.

3. How to find GCD of 412, 585, 985, 991 on a calculator?

You can find the GCD of 412, 585, 985, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.