GCD of 434, 775, 991, 309 Calculator

Given Input numbers are 434, 775, 991, 309

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 991

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

1, 991

Divisors of 309

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

1, 3, 103, 309

Greatest Common Divisior

We found the divisors of 434, 775, 991, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 775, 991, 309 is 1.

Therefore, GCD of numbers 434, 775, 991, 309 is 1

Given Input Data is 434, 775, 991, 309

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 991 is 991

Prime Factorization of 309 is 3 x 103

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(434, 775) = 10850

GCD(434, 775) = ( 434 x 775 ) / 10850

GCD(434, 775) = 336350 / 10850

GCD(434, 775) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 991

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

LCM(31, 991) = 30721

GCD(31, 991) = ( 31 x 991 ) / 30721

GCD(31, 991) = 30721 / 30721

GCD(31, 991) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 309

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

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

GCD(1, 309) = 309 / 309

GCD(1, 309) = 1

GCD of 434, 775, 991, 309 is 1

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1. What is the GCD of 434, 775, 991, 309?

GCD of 434, 775, 991, 309 is 1

2. Where do I get the detailed procedure to find GCD of 434, 775, 991, 309?

You can find a detailed procedure to find GCD of 434, 775, 991, 309 on our page.

3. How to find GCD of 434, 775, 991, 309 on a calculator?

You can find the GCD of 434, 775, 991, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.