GCD of 285, 480, 138, 387 Calculator

Given Input numbers are 285, 480, 138, 387

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

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 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

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 285, 480, 138, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 480, 138, 387 is 3.

Therefore, GCD of numbers 285, 480, 138, 387 is 3

Given Input Data is 285, 480, 138, 387

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

Prime Factorization of 285 is 3 x 5 x 19

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 387 is 3 x 3 x 43

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(285, 480) = 9120

GCD(285, 480) = ( 285 x 480 ) / 9120

GCD(285, 480) = 136800 / 9120

GCD(285, 480) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 138

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

LCM(15, 138) = 690

GCD(15, 138) = ( 15 x 138 ) / 690

GCD(15, 138) = 2070 / 690

GCD(15, 138) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 387

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

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

GCD(3, 387) = 1161 / 387

GCD(3, 387) = 3

GCD of 285, 480, 138, 387 is 3

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1. What is the GCD of 285, 480, 138, 387?

GCD of 285, 480, 138, 387 is 3

2. Where do I get the detailed procedure to find GCD of 285, 480, 138, 387?

You can find a detailed procedure to find GCD of 285, 480, 138, 387 on our page.

3. How to find GCD of 285, 480, 138, 387 on a calculator?

You can find the GCD of 285, 480, 138, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.