GCD of 615, 189, 36, 282 Calculator

Given Input numbers are 615, 189, 36, 282

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

Divisors of 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 282

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

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

Greatest Common Divisior

We found the divisors of 615, 189, 36, 282 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 615, 189, 36, 282 is 3.

Therefore, GCD of numbers 615, 189, 36, 282 is 3

Given Input Data is 615, 189, 36, 282

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

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 282 is 2 x 3 x 47

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(615, 189) = 38745

GCD(615, 189) = ( 615 x 189 ) / 38745

GCD(615, 189) = 116235 / 38745

GCD(615, 189) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 282

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

LCM(3, 282) = 282

GCD(3, 282) = ( 3 x 282 ) / 282

GCD(3, 282) = 846 / 282

GCD(3, 282) = 3

GCD of 615, 189, 36, 282 is 3

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• GCD of 536, 255, 83, 100
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1. What is the GCD of 615, 189, 36, 282?

GCD of 615, 189, 36, 282 is 3

2. Where do I get the detailed procedure to find GCD of 615, 189, 36, 282?

You can find a detailed procedure to find GCD of 615, 189, 36, 282 on our page.

3. How to find GCD of 615, 189, 36, 282 on a calculator?

You can find the GCD of 615, 189, 36, 282 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.