GCD of 968, 286, 52, 782 Calculator

Given Input numbers are 968, 286, 52, 782

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

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 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 968, 286, 52, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 286, 52, 782 is 2.

Therefore, GCD of numbers 968, 286, 52, 782 is 2

Given Input Data is 968, 286, 52, 782

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

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 782 is 2 x 17 x 23

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(968, 286) = 12584

GCD(968, 286) = ( 968 x 286 ) / 12584

GCD(968, 286) = 276848 / 12584

GCD(968, 286) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 52

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

LCM(22, 52) = 572

GCD(22, 52) = ( 22 x 52 ) / 572

GCD(22, 52) = 1144 / 572

GCD(22, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 782

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

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

GCD(2, 782) = 1564 / 782

GCD(2, 782) = 2

GCD of 968, 286, 52, 782 is 2

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1. What is the GCD of 968, 286, 52, 782?

GCD of 968, 286, 52, 782 is 2

2. Where do I get the detailed procedure to find GCD of 968, 286, 52, 782?

You can find a detailed procedure to find GCD of 968, 286, 52, 782 on our page.

3. How to find GCD of 968, 286, 52, 782 on a calculator?

You can find the GCD of 968, 286, 52, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.