GCD of 886, 228, 31, 971 Calculator

Given Input numbers are 886, 228, 31, 971

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

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 886, 228, 31, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 886, 228, 31, 971 is 1.

Therefore, GCD of numbers 886, 228, 31, 971 is 1

Given Input Data is 886, 228, 31, 971

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

Prime Factorization of 886 is 2 x 443

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

Prime Factorization of 31 is 31

Prime Factorization of 971 is 971

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(886, 228) = 101004

GCD(886, 228) = ( 886 x 228 ) / 101004

GCD(886, 228) = 202008 / 101004

GCD(886, 228) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 886, 228, 31, 971 is 1

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1. What is the GCD of 886, 228, 31, 971?

GCD of 886, 228, 31, 971 is 1

2. Where do I get the detailed procedure to find GCD of 886, 228, 31, 971?

You can find a detailed procedure to find GCD of 886, 228, 31, 971 on our page.

3. How to find GCD of 886, 228, 31, 971 on a calculator?

You can find the GCD of 886, 228, 31, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.