GCD of 460, 416, 87, 387 Calculator

Given Input numbers are 460, 416, 87, 387

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 87

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

1, 3, 29, 87

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 460, 416, 87, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 416, 87, 387 is 1.

Therefore, GCD of numbers 460, 416, 87, 387 is 1

Given Input Data is 460, 416, 87, 387

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 87 is 3 x 29

Prime Factorization of 387 is 3 x 3 x 43

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(460, 416) = 47840

GCD(460, 416) = ( 460 x 416 ) / 47840

GCD(460, 416) = 191360 / 47840

GCD(460, 416) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 87

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

LCM(4, 87) = 348

GCD(4, 87) = ( 4 x 87 ) / 348

GCD(4, 87) = 348 / 348

GCD(4, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 387

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

LCM(1, 387) = 387

GCD(1, 387) = ( 1 x 387 ) / 387

GCD(1, 387) = 387 / 387

GCD(1, 387) = 1

GCD of 460, 416, 87, 387 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 899, 91, 308
• GCD of 286, 589, 25, 716
• GCD of 563, 621, 54, 926
• GCD of 375, 741, 45, 451
• GCD of 368, 313, 55, 989

1. What is the GCD of 460, 416, 87, 387?

GCD of 460, 416, 87, 387 is 1

2. Where do I get the detailed procedure to find GCD of 460, 416, 87, 387?

You can find a detailed procedure to find GCD of 460, 416, 87, 387 on our page.

3. How to find GCD of 460, 416, 87, 387 on a calculator?

You can find the GCD of 460, 416, 87, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.