GCD of 226, 568, 24, 987 Calculator

Given Input numbers are 226, 568, 24, 987

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

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 226, 568, 24, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 226, 568, 24, 987 is 1.

Therefore, GCD of numbers 226, 568, 24, 987 is 1

Given Input Data is 226, 568, 24, 987

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

Prime Factorization of 226 is 2 x 113

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 987 is 3 x 7 x 47

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(226, 568) = 64184

GCD(226, 568) = ( 226 x 568 ) / 64184

GCD(226, 568) = 128368 / 64184

GCD(226, 568) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 987

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

LCM(2, 987) = 1974

GCD(2, 987) = ( 2 x 987 ) / 1974

GCD(2, 987) = 1974 / 1974

GCD(2, 987) = 1

GCD of 226, 568, 24, 987 is 1

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1. What is the GCD of 226, 568, 24, 987?

GCD of 226, 568, 24, 987 is 1

2. Where do I get the detailed procedure to find GCD of 226, 568, 24, 987?

You can find a detailed procedure to find GCD of 226, 568, 24, 987 on our page.

3. How to find GCD of 226, 568, 24, 987 on a calculator?

You can find the GCD of 226, 568, 24, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.