GCD of 291, 672, 364, 563 Calculator

Given Input numbers are 291, 672, 364, 563

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 291, 672, 364, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 672, 364, 563 is 1.

Therefore, GCD of numbers 291, 672, 364, 563 is 1

Given Input Data is 291, 672, 364, 563

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 563 is 563

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(291, 672) = 65184

GCD(291, 672) = ( 291 x 672 ) / 65184

GCD(291, 672) = 195552 / 65184

GCD(291, 672) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 364

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

LCM(3, 364) = 1092

GCD(3, 364) = ( 3 x 364 ) / 1092

GCD(3, 364) = 1092 / 1092

GCD(3, 364) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 291, 672, 364, 563 is 1

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1. What is the GCD of 291, 672, 364, 563?

GCD of 291, 672, 364, 563 is 1

2. Where do I get the detailed procedure to find GCD of 291, 672, 364, 563?

You can find a detailed procedure to find GCD of 291, 672, 364, 563 on our page.

3. How to find GCD of 291, 672, 364, 563 on a calculator?

You can find the GCD of 291, 672, 364, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.