GCD of 31, 976, 353, 991 Calculator

Given Input numbers are 31, 976, 353, 991

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

Divisors of 31

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

1, 31

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 991

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

1, 991

Greatest Common Divisior

We found the divisors of 31, 976, 353, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 976, 353, 991 is 1.

Therefore, GCD of numbers 31, 976, 353, 991 is 1

Given Input Data is 31, 976, 353, 991

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

Prime Factorization of 31 is 31

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 353 is 353

Prime Factorization of 991 is 991

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(31, 976) = 30256

GCD(31, 976) = ( 31 x 976 ) / 30256

GCD(31, 976) = 30256 / 30256

GCD(31, 976) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 31, 976, 353, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 535, 465, 801
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• GCD of 82, 675, 235, 190
• GCD of 39, 990, 887, 103
• GCD of 88, 936, 672, 451

1. What is the GCD of 31, 976, 353, 991?

GCD of 31, 976, 353, 991 is 1

2. Where do I get the detailed procedure to find GCD of 31, 976, 353, 991?

You can find a detailed procedure to find GCD of 31, 976, 353, 991 on our page.

3. How to find GCD of 31, 976, 353, 991 on a calculator?

You can find the GCD of 31, 976, 353, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.