GCD of 480, 338, 57, 387 Calculator

Given Input numbers are 480, 338, 57, 387

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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 480, 338, 57, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 338, 57, 387 is 1.

Therefore, GCD of numbers 480, 338, 57, 387 is 1

Given Input Data is 480, 338, 57, 387

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 57 is 3 x 19

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(480, 338) = 81120

GCD(480, 338) = ( 480 x 338 ) / 81120

GCD(480, 338) = 162240 / 81120

GCD(480, 338) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 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 480, 338, 57, 387 is 1

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1. What is the GCD of 480, 338, 57, 387?

GCD of 480, 338, 57, 387 is 1

2. Where do I get the detailed procedure to find GCD of 480, 338, 57, 387?

You can find a detailed procedure to find GCD of 480, 338, 57, 387 on our page.

3. How to find GCD of 480, 338, 57, 387 on a calculator?

You can find the GCD of 480, 338, 57, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.