GCD of 930, 152, 584 Calculator

Given Input numbers are 930, 152, 584

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 930, 152, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 152, 584 is 2.

Therefore, GCD of numbers 930, 152, 584 is 2

Given Input Data is 930, 152, 584

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 584 is 2 x 2 x 2 x 73

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(930, 152) = 70680

GCD(930, 152) = ( 930 x 152 ) / 70680

GCD(930, 152) = 141360 / 70680

GCD(930, 152) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 2

GCD of 930, 152, 584 is 2

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1. What is the GCD of 930, 152, 584?

GCD of 930, 152, 584 is 2

2. Where do I get the detailed procedure to find GCD of 930, 152, 584?

You can find a detailed procedure to find GCD of 930, 152, 584 on our page.

3. How to find GCD of 930, 152, 584 on a calculator?

You can find the GCD of 930, 152, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.