GCD of 91, 531, 838, 861 Calculator

Given Input numbers are 91, 531, 838, 861

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

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 91, 531, 838, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 531, 838, 861 is 1.

Therefore, GCD of numbers 91, 531, 838, 861 is 1

Given Input Data is 91, 531, 838, 861

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 838 is 2 x 419

Prime Factorization of 861 is 3 x 7 x 41

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(91, 531) = 48321

GCD(91, 531) = ( 91 x 531 ) / 48321

GCD(91, 531) = 48321 / 48321

GCD(91, 531) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

GCD of 91, 531, 838, 861 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 538, 803, 158
• GCD of 58, 712, 265, 255
• GCD of 23, 964, 668, 457
• GCD of 12, 855, 889, 137
• GCD of 23, 255, 569, 291

1. What is the GCD of 91, 531, 838, 861?

GCD of 91, 531, 838, 861 is 1

2. Where do I get the detailed procedure to find GCD of 91, 531, 838, 861?

You can find a detailed procedure to find GCD of 91, 531, 838, 861 on our page.

3. How to find GCD of 91, 531, 838, 861 on a calculator?

You can find the GCD of 91, 531, 838, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.