GCD of 788, 358, 991, 566 Calculator

Given Input numbers are 788, 358, 991, 566

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 788, 358, 991, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 358, 991, 566 is 1.

Therefore, GCD of numbers 788, 358, 991, 566 is 1

Given Input Data is 788, 358, 991, 566

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 358 is 2 x 179

Prime Factorization of 991 is 991

Prime Factorization of 566 is 2 x 283

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(788, 358) = 141052

GCD(788, 358) = ( 788 x 358 ) / 141052

GCD(788, 358) = 282104 / 141052

GCD(788, 358) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 991

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

LCM(2, 991) = 1982

GCD(2, 991) = ( 2 x 991 ) / 1982

GCD(2, 991) = 1982 / 1982

GCD(2, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

GCD of 788, 358, 991, 566 is 1

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1. What is the GCD of 788, 358, 991, 566?

GCD of 788, 358, 991, 566 is 1

2. Where do I get the detailed procedure to find GCD of 788, 358, 991, 566?

You can find a detailed procedure to find GCD of 788, 358, 991, 566 on our page.

3. How to find GCD of 788, 358, 991, 566 on a calculator?

You can find the GCD of 788, 358, 991, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.