GCD of 87, 905, 403, 264 Calculator

Given Input numbers are 87, 905, 403, 264

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 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 87, 905, 403, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 905, 403, 264 is 1.

Therefore, GCD of numbers 87, 905, 403, 264 is 1

Given Input Data is 87, 905, 403, 264

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 905 is 5 x 181

Prime Factorization of 403 is 13 x 31

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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, 905) = 78735

GCD(87, 905) = ( 87 x 905 ) / 78735

GCD(87, 905) = 78735 / 78735

GCD(87, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 403

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

LCM(1, 403) = 403

GCD(1, 403) = ( 1 x 403 ) / 403

GCD(1, 403) = 403 / 403

GCD(1, 403) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 87, 905, 403, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 39, 757, 190, 823
• GCD of 14, 902, 277, 121
• GCD of 90, 130, 584, 546
• GCD of 28, 753, 383, 818
• GCD of 91, 879, 243, 988

1. What is the GCD of 87, 905, 403, 264?

GCD of 87, 905, 403, 264 is 1

2. Where do I get the detailed procedure to find GCD of 87, 905, 403, 264?

You can find a detailed procedure to find GCD of 87, 905, 403, 264 on our page.

3. How to find GCD of 87, 905, 403, 264 on a calculator?

You can find the GCD of 87, 905, 403, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.