GCD of 968, 448, 586 Calculator

Given Input numbers are 968, 448, 586

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 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 968, 448, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 448, 586 is 2.

Therefore, GCD of numbers 968, 448, 586 is 2

Given Input Data is 968, 448, 586

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 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 586 is 2 x 293

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, 448) = 54208

GCD(968, 448) = ( 968 x 448 ) / 54208

GCD(968, 448) = 433664 / 54208

GCD(968, 448) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 586

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

LCM(8, 586) = 2344

GCD(8, 586) = ( 8 x 586 ) / 2344

GCD(8, 586) = 4688 / 2344

GCD(8, 586) = 2

GCD of 968, 448, 586 is 2

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1. What is the GCD of 968, 448, 586?

GCD of 968, 448, 586 is 2

2. Where do I get the detailed procedure to find GCD of 968, 448, 586?

You can find a detailed procedure to find GCD of 968, 448, 586 on our page.

3. How to find GCD of 968, 448, 586 on a calculator?

You can find the GCD of 968, 448, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.