GCD of 968, 416, 583 Calculator

Given Input numbers are 968, 416, 583

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 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 968, 416, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 416, 583 is 1.

Therefore, GCD of numbers 968, 416, 583 is 1

Given Input Data is 968, 416, 583

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 416 is 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 583 is 11 x 53

The above numbers do not have any common prime factor. So GCD is 1

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, 416) = 50336

GCD(968, 416) = ( 968 x 416 ) / 50336

GCD(968, 416) = 402688 / 50336

GCD(968, 416) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 583

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

LCM(8, 583) = 4664

GCD(8, 583) = ( 8 x 583 ) / 4664

GCD(8, 583) = 4664 / 4664

GCD(8, 583) = 1

GCD of 968, 416, 583 is 1

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1. What is the GCD of 968, 416, 583?

GCD of 968, 416, 583 is 1

2. Where do I get the detailed procedure to find GCD of 968, 416, 583?

You can find a detailed procedure to find GCD of 968, 416, 583 on our page.

3. How to find GCD of 968, 416, 583 on a calculator?

You can find the GCD of 968, 416, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.