GCD of 231, 759, 59, 986 Calculator

Given Input numbers are 231, 759, 59, 986

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 231, 759, 59, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 759, 59, 986 is 1.

Therefore, GCD of numbers 231, 759, 59, 986 is 1

Given Input Data is 231, 759, 59, 986

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 59 is 59

Prime Factorization of 986 is 2 x 17 x 29

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(231, 759) = 5313

GCD(231, 759) = ( 231 x 759 ) / 5313

GCD(231, 759) = 175329 / 5313

GCD(231, 759) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 59

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

LCM(33, 59) = 1947

GCD(33, 59) = ( 33 x 59 ) / 1947

GCD(33, 59) = 1947 / 1947

GCD(33, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 231, 759, 59, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 792, 59, 484
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1. What is the GCD of 231, 759, 59, 986?

GCD of 231, 759, 59, 986 is 1

2. Where do I get the detailed procedure to find GCD of 231, 759, 59, 986?

You can find a detailed procedure to find GCD of 231, 759, 59, 986 on our page.

3. How to find GCD of 231, 759, 59, 986 on a calculator?

You can find the GCD of 231, 759, 59, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.