GCD of 87, 918, 539, 401 Calculator

Given Input numbers are 87, 918, 539, 401

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 918

List of positive integer divisors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Greatest Common Divisior

We found the divisors of 87, 918, 539, 401 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 918, 539, 401 is 1.

Therefore, GCD of numbers 87, 918, 539, 401 is 1

Given Input Data is 87, 918, 539, 401

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17

Prime Factorization of 539 is 7 x 7 x 11

Prime Factorization of 401 is 401

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(87, 918) = 26622

GCD(87, 918) = ( 87 x 918 ) / 26622

GCD(87, 918) = 79866 / 26622

GCD(87, 918) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 539

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

LCM(3, 539) = 1617

GCD(3, 539) = ( 3 x 539 ) / 1617

GCD(3, 539) = 1617 / 1617

GCD(3, 539) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 401

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

LCM(1, 401) = 401

GCD(1, 401) = ( 1 x 401 ) / 401

GCD(1, 401) = 401 / 401

GCD(1, 401) = 1

GCD of 87, 918, 539, 401 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 27, 521, 903, 875
• GCD of 87, 950, 392, 713
• GCD of 91, 979, 404, 458
• GCD of 29, 249, 738, 517
• GCD of 40, 407, 394, 256

1. What is the GCD of 87, 918, 539, 401?

GCD of 87, 918, 539, 401 is 1

2. Where do I get the detailed procedure to find GCD of 87, 918, 539, 401?

You can find a detailed procedure to find GCD of 87, 918, 539, 401 on our page.

3. How to find GCD of 87, 918, 539, 401 on a calculator?

You can find the GCD of 87, 918, 539, 401 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.