GCD of 309, 791, 967 Calculator

Given Input numbers are 309, 791, 967

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Greatest Common Divisior

We found the divisors of 309, 791, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 791, 967 is 1.

Therefore, GCD of numbers 309, 791, 967 is 1

Given Input Data is 309, 791, 967

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

Prime Factorization of 309 is 3 x 103

Prime Factorization of 791 is 7 x 113

Prime Factorization of 967 is 967

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(309, 791) = 244419

GCD(309, 791) = ( 309 x 791 ) / 244419

GCD(309, 791) = 244419 / 244419

GCD(309, 791) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 967

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

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

GCD(1, 967) = 967 / 967

GCD(1, 967) = 1

GCD of 309, 791, 967 is 1

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1. What is the GCD of 309, 791, 967?

GCD of 309, 791, 967 is 1

2. Where do I get the detailed procedure to find GCD of 309, 791, 967?

You can find a detailed procedure to find GCD of 309, 791, 967 on our page.

3. How to find GCD of 309, 791, 967 on a calculator?

You can find the GCD of 309, 791, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.