GCD of 229, 713, 460, 278 Calculator

Given Input numbers are 229, 713, 460, 278

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

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 229, 713, 460, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 229, 713, 460, 278 is 1.

Therefore, GCD of numbers 229, 713, 460, 278 is 1

Given Input Data is 229, 713, 460, 278

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

Prime Factorization of 229 is 229

Prime Factorization of 713 is 23 x 31

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 278 is 2 x 139

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(229, 713) = 163277

GCD(229, 713) = ( 229 x 713 ) / 163277

GCD(229, 713) = 163277 / 163277

GCD(229, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 229, 713, 460, 278 is 1

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1. What is the GCD of 229, 713, 460, 278?

GCD of 229, 713, 460, 278 is 1

2. Where do I get the detailed procedure to find GCD of 229, 713, 460, 278?

You can find a detailed procedure to find GCD of 229, 713, 460, 278 on our page.

3. How to find GCD of 229, 713, 460, 278 on a calculator?

You can find the GCD of 229, 713, 460, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.