GCD of 984, 156, 615, 594 Calculator

Given Input numbers are 984, 156, 615, 594

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Greatest Common Divisior

We found the divisors of 984, 156, 615, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 156, 615, 594 is 3.

Therefore, GCD of numbers 984, 156, 615, 594 is 3

Given Input Data is 984, 156, 615, 594

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

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(984, 156) = 12792

GCD(984, 156) = ( 984 x 156 ) / 12792

GCD(984, 156) = 153504 / 12792

GCD(984, 156) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 615

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

LCM(12, 615) = 2460

GCD(12, 615) = ( 12 x 615 ) / 2460

GCD(12, 615) = 7380 / 2460

GCD(12, 615) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 594

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

LCM(3, 594) = 594

GCD(3, 594) = ( 3 x 594 ) / 594

GCD(3, 594) = 1782 / 594

GCD(3, 594) = 3

GCD of 984, 156, 615, 594 is 3

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1. What is the GCD of 984, 156, 615, 594?

GCD of 984, 156, 615, 594 is 3

2. Where do I get the detailed procedure to find GCD of 984, 156, 615, 594?

You can find a detailed procedure to find GCD of 984, 156, 615, 594 on our page.

3. How to find GCD of 984, 156, 615, 594 on a calculator?

You can find the GCD of 984, 156, 615, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.