GCD of 87, 230, 448, 509 Calculator

Given Input numbers are 87, 230, 448, 509

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 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 87, 230, 448, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 230, 448, 509 is 1.

Therefore, GCD of numbers 87, 230, 448, 509 is 1

Given Input Data is 87, 230, 448, 509

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 509 is 509

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, 230) = 20010

GCD(87, 230) = ( 87 x 230 ) / 20010

GCD(87, 230) = 20010 / 20010

GCD(87, 230) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 87, 230, 448, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 334, 368, 179
• GCD of 24, 667, 718, 413
• GCD of 91, 659, 953, 716
• GCD of 21, 127, 189, 684
• GCD of 54, 801, 433, 113

1. What is the GCD of 87, 230, 448, 509?

GCD of 87, 230, 448, 509 is 1

2. Where do I get the detailed procedure to find GCD of 87, 230, 448, 509?

You can find a detailed procedure to find GCD of 87, 230, 448, 509 on our page.

3. How to find GCD of 87, 230, 448, 509 on a calculator?

You can find the GCD of 87, 230, 448, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.