GCD of 87, 128, 504, 405 Calculator

Given Input numbers are 87, 128, 504, 405

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 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Greatest Common Divisior

We found the divisors of 87, 128, 504, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 128, 504, 405 is 1.

Therefore, GCD of numbers 87, 128, 504, 405 is 1

Given Input Data is 87, 128, 504, 405

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

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, 128) = 11136

GCD(87, 128) = ( 87 x 128 ) / 11136

GCD(87, 128) = 11136 / 11136

GCD(87, 128) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

GCD of 87, 128, 504, 405 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 642, 324, 990
• GCD of 49, 947, 974, 907
• GCD of 44, 353, 210, 752
• GCD of 18, 266, 248, 770
• GCD of 29, 810, 271, 421

1. What is the GCD of 87, 128, 504, 405?

GCD of 87, 128, 504, 405 is 1

2. Where do I get the detailed procedure to find GCD of 87, 128, 504, 405?

You can find a detailed procedure to find GCD of 87, 128, 504, 405 on our page.

3. How to find GCD of 87, 128, 504, 405 on a calculator?

You can find the GCD of 87, 128, 504, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.