GCD of 993, 116, 965, 945 Calculator

Given Input numbers are 993, 116, 965, 945

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

Divisors of 993

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

1, 3, 331, 993

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Greatest Common Divisior

We found the divisors of 993, 116, 965, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 993, 116, 965, 945 is 1.

Therefore, GCD of numbers 993, 116, 965, 945 is 1

Given Input Data is 993, 116, 965, 945

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

Prime Factorization of 993 is 3 x 331

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 965 is 5 x 193

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

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(993, 116) = 115188

GCD(993, 116) = ( 993 x 116 ) / 115188

GCD(993, 116) = 115188 / 115188

GCD(993, 116) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 965

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

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

GCD(1, 965) = 965 / 965

GCD(1, 965) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 993, 116, 965, 945 is 1

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1. What is the GCD of 993, 116, 965, 945?

GCD of 993, 116, 965, 945 is 1

2. Where do I get the detailed procedure to find GCD of 993, 116, 965, 945?

You can find a detailed procedure to find GCD of 993, 116, 965, 945 on our page.

3. How to find GCD of 993, 116, 965, 945 on a calculator?

You can find the GCD of 993, 116, 965, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.