GCD of 285, 270, 147, 399 Calculator

Given Input numbers are 285, 270, 147, 399

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 285, 270, 147, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 270, 147, 399 is 3.

Therefore, GCD of numbers 285, 270, 147, 399 is 3

Given Input Data is 285, 270, 147, 399

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 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 399 is 3 x 7 x 19

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, 270) = 5130

GCD(285, 270) = ( 285 x 270 ) / 5130

GCD(285, 270) = 76950 / 5130

GCD(285, 270) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 147

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

LCM(15, 147) = 735

GCD(15, 147) = ( 15 x 147 ) / 735

GCD(15, 147) = 2205 / 735

GCD(15, 147) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 399

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

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

GCD(3, 399) = 1197 / 399

GCD(3, 399) = 3

GCD of 285, 270, 147, 399 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 566, 835, 148
• GCD of 544, 121, 255, 832
• GCD of 247, 963, 819, 182
• GCD of 344, 312, 397, 953
• GCD of 344, 156, 104, 938

1. What is the GCD of 285, 270, 147, 399?

GCD of 285, 270, 147, 399 is 3

2. Where do I get the detailed procedure to find GCD of 285, 270, 147, 399?

You can find a detailed procedure to find GCD of 285, 270, 147, 399 on our page.

3. How to find GCD of 285, 270, 147, 399 on a calculator?

You can find the GCD of 285, 270, 147, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.