GCD of 115, 968, 37, 993 Calculator

Given Input numbers are 115, 968, 37, 993

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

Divisors of 115

List of positive integer divisors of 115 that divides 115 without a remainder.

1, 5, 23, 115

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 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 115, 968, 37, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 115, 968, 37, 993 is 1.

Therefore, GCD of numbers 115, 968, 37, 993 is 1

Given Input Data is 115, 968, 37, 993

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

Prime Factorization of 115 is 5 x 23

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

Prime Factorization of 37 is 37

Prime Factorization of 993 is 3 x 331

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(115, 968) = 111320

GCD(115, 968) = ( 115 x 968 ) / 111320

GCD(115, 968) = 111320 / 111320

GCD(115, 968) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 115, 968, 37, 993 is 1

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1. What is the GCD of 115, 968, 37, 993?

GCD of 115, 968, 37, 993 is 1

2. Where do I get the detailed procedure to find GCD of 115, 968, 37, 993?

You can find a detailed procedure to find GCD of 115, 968, 37, 993 on our page.

3. How to find GCD of 115, 968, 37, 993 on a calculator?

You can find the GCD of 115, 968, 37, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.