GCD of 578, 108, 23, 771 Calculator

Given Input numbers are 578, 108, 23, 771

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

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 578, 108, 23, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 578, 108, 23, 771 is 1.

Therefore, GCD of numbers 578, 108, 23, 771 is 1

Given Input Data is 578, 108, 23, 771

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

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 23 is 23

Prime Factorization of 771 is 3 x 257

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(578, 108) = 31212

GCD(578, 108) = ( 578 x 108 ) / 31212

GCD(578, 108) = 62424 / 31212

GCD(578, 108) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 578, 108, 23, 771 is 1

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• GCD of 234, 622, 76, 363
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1. What is the GCD of 578, 108, 23, 771?

GCD of 578, 108, 23, 771 is 1

2. Where do I get the detailed procedure to find GCD of 578, 108, 23, 771?

You can find a detailed procedure to find GCD of 578, 108, 23, 771 on our page.

3. How to find GCD of 578, 108, 23, 771 on a calculator?

You can find the GCD of 578, 108, 23, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.