GCD of 389, 991, 968, 217 Calculator

Given Input numbers are 389, 991, 968, 217

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 389, 991, 968, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 991, 968, 217 is 1.

Therefore, GCD of numbers 389, 991, 968, 217 is 1

Given Input Data is 389, 991, 968, 217

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

Prime Factorization of 389 is 389

Prime Factorization of 991 is 991

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 217 is 7 x 31

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(389, 991) = 385499

GCD(389, 991) = ( 389 x 991 ) / 385499

GCD(389, 991) = 385499 / 385499

GCD(389, 991) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 389, 991, 968, 217 is 1

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1. What is the GCD of 389, 991, 968, 217?

GCD of 389, 991, 968, 217 is 1

2. Where do I get the detailed procedure to find GCD of 389, 991, 968, 217?

You can find a detailed procedure to find GCD of 389, 991, 968, 217 on our page.

3. How to find GCD of 389, 991, 968, 217 on a calculator?

You can find the GCD of 389, 991, 968, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.