GCD of 285, 240, 501, 378 Calculator

Given Input numbers are 285, 240, 501, 378

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 240

List of positive integer divisors of 240 that divides 240 without a remainder.

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Greatest Common Divisior

We found the divisors of 285, 240, 501, 378 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 240, 501, 378 is 3.

Therefore, GCD of numbers 285, 240, 501, 378 is 3

Given Input Data is 285, 240, 501, 378

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 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 501 is 3 x 167

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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, 240) = 4560

GCD(285, 240) = ( 285 x 240 ) / 4560

GCD(285, 240) = 68400 / 4560

GCD(285, 240) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 501

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

LCM(15, 501) = 2505

GCD(15, 501) = ( 15 x 501 ) / 2505

GCD(15, 501) = 7515 / 2505

GCD(15, 501) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 378

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

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

GCD(3, 378) = 1134 / 378

GCD(3, 378) = 3

GCD of 285, 240, 501, 378 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 187, 995, 789
• GCD of 422, 415, 468, 539
• GCD of 680, 511, 762, 714
• GCD of 349, 870, 968, 773
• GCD of 298, 265, 890, 560

1. What is the GCD of 285, 240, 501, 378?

GCD of 285, 240, 501, 378 is 3

2. Where do I get the detailed procedure to find GCD of 285, 240, 501, 378?

You can find a detailed procedure to find GCD of 285, 240, 501, 378 on our page.

3. How to find GCD of 285, 240, 501, 378 on a calculator?

You can find the GCD of 285, 240, 501, 378 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.