GCD of 60, 282, 756, 468 Calculator

Given Input numbers are 60, 282, 756, 468

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 60, 282, 756, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 282, 756, 468 is 6.

Therefore, GCD of numbers 60, 282, 756, 468 is 6

Given Input Data is 60, 282, 756, 468

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(60, 282) = 2820

GCD(60, 282) = ( 60 x 282 ) / 2820

GCD(60, 282) = 16920 / 2820

GCD(60, 282) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 756

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

LCM(6, 756) = 756

GCD(6, 756) = ( 6 x 756 ) / 756

GCD(6, 756) = 4536 / 756

GCD(6, 756) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 468

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

LCM(6, 468) = 468

GCD(6, 468) = ( 6 x 468 ) / 468

GCD(6, 468) = 2808 / 468

GCD(6, 468) = 6

GCD of 60, 282, 756, 468 is 6

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1. What is the GCD of 60, 282, 756, 468?

GCD of 60, 282, 756, 468 is 6

2. Where do I get the detailed procedure to find GCD of 60, 282, 756, 468?

You can find a detailed procedure to find GCD of 60, 282, 756, 468 on our page.

3. How to find GCD of 60, 282, 756, 468 on a calculator?

You can find the GCD of 60, 282, 756, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.