GCD of 991, 783, 477, 656 Calculator

Given Input numbers are 991, 783, 477, 656

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

Divisors of 991

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

1, 991

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 991, 783, 477, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 783, 477, 656 is 1.

Therefore, GCD of numbers 991, 783, 477, 656 is 1

Given Input Data is 991, 783, 477, 656

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

Prime Factorization of 991 is 991

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(991, 783) = 775953

GCD(991, 783) = ( 991 x 783 ) / 775953

GCD(991, 783) = 775953 / 775953

GCD(991, 783) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 477

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

LCM(1, 477) = 477

GCD(1, 477) = ( 1 x 477 ) / 477

GCD(1, 477) = 477 / 477

GCD(1, 477) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 991, 783, 477, 656 is 1

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1. What is the GCD of 991, 783, 477, 656?

GCD of 991, 783, 477, 656 is 1

2. Where do I get the detailed procedure to find GCD of 991, 783, 477, 656?

You can find a detailed procedure to find GCD of 991, 783, 477, 656 on our page.

3. How to find GCD of 991, 783, 477, 656 on a calculator?

You can find the GCD of 991, 783, 477, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.