GCD of 867, 339, 44, 971 Calculator

Given Input numbers are 867, 339, 44, 971

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 867, 339, 44, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 339, 44, 971 is 1.

Therefore, GCD of numbers 867, 339, 44, 971 is 1

Given Input Data is 867, 339, 44, 971

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 339 is 3 x 113

Prime Factorization of 44 is 2 x 2 x 11

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(867, 339) = 97971

GCD(867, 339) = ( 867 x 339 ) / 97971

GCD(867, 339) = 293913 / 97971

GCD(867, 339) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 44

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

LCM(3, 44) = 132

GCD(3, 44) = ( 3 x 44 ) / 132

GCD(3, 44) = 132 / 132

GCD(3, 44) = 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 867, 339, 44, 971 is 1

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1. What is the GCD of 867, 339, 44, 971?

GCD of 867, 339, 44, 971 is 1

2. Where do I get the detailed procedure to find GCD of 867, 339, 44, 971?

You can find a detailed procedure to find GCD of 867, 339, 44, 971 on our page.

3. How to find GCD of 867, 339, 44, 971 on a calculator?

You can find the GCD of 867, 339, 44, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.