GCD of 582, 968, 40, 296 Calculator

Given Input numbers are 582, 968, 40, 296

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 582, 968, 40, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 968, 40, 296 is 2.

Therefore, GCD of numbers 582, 968, 40, 296 is 2

Given Input Data is 582, 968, 40, 296

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 296 is 2 x 2 x 2 x 37

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(582, 968) = 281688

GCD(582, 968) = ( 582 x 968 ) / 281688

GCD(582, 968) = 563376 / 281688

GCD(582, 968) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 296

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

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

GCD(2, 296) = 592 / 296

GCD(2, 296) = 2

GCD of 582, 968, 40, 296 is 2

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1. What is the GCD of 582, 968, 40, 296?

GCD of 582, 968, 40, 296 is 2

2. Where do I get the detailed procedure to find GCD of 582, 968, 40, 296?

You can find a detailed procedure to find GCD of 582, 968, 40, 296 on our page.

3. How to find GCD of 582, 968, 40, 296 on a calculator?

You can find the GCD of 582, 968, 40, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.