GCD of 238, 660, 873, 431 Calculator

Given Input numbers are 238, 660, 873, 431

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

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 238, 660, 873, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 660, 873, 431 is 1.

Therefore, GCD of numbers 238, 660, 873, 431 is 1

Given Input Data is 238, 660, 873, 431

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

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 431 is 431

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(238, 660) = 78540

GCD(238, 660) = ( 238 x 660 ) / 78540

GCD(238, 660) = 157080 / 78540

GCD(238, 660) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 873

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

LCM(2, 873) = 1746

GCD(2, 873) = ( 2 x 873 ) / 1746

GCD(2, 873) = 1746 / 1746

GCD(2, 873) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 238, 660, 873, 431 is 1

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1. What is the GCD of 238, 660, 873, 431?

GCD of 238, 660, 873, 431 is 1

2. Where do I get the detailed procedure to find GCD of 238, 660, 873, 431?

You can find a detailed procedure to find GCD of 238, 660, 873, 431 on our page.

3. How to find GCD of 238, 660, 873, 431 on a calculator?

You can find the GCD of 238, 660, 873, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.