GCD of 228, 456, 709, 116 Calculator

Given Input numbers are 228, 456, 709, 116

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 228, 456, 709, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 456, 709, 116 is 1.

Therefore, GCD of numbers 228, 456, 709, 116 is 1

Given Input Data is 228, 456, 709, 116

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 709 is 709

Prime Factorization of 116 is 2 x 2 x 29

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(228, 456) = 456

GCD(228, 456) = ( 228 x 456 ) / 456

GCD(228, 456) = 103968 / 456

GCD(228, 456) = 228

Step2:

Here we consider the GCD from the above i.e. 228 as first number and the next as 709

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

LCM(228, 709) = 161652

GCD(228, 709) = ( 228 x 709 ) / 161652

GCD(228, 709) = 161652 / 161652

GCD(228, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 228, 456, 709, 116 is 1

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1. What is the GCD of 228, 456, 709, 116?

GCD of 228, 456, 709, 116 is 1

2. Where do I get the detailed procedure to find GCD of 228, 456, 709, 116?

You can find a detailed procedure to find GCD of 228, 456, 709, 116 on our page.

3. How to find GCD of 228, 456, 709, 116 on a calculator?

You can find the GCD of 228, 456, 709, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.