GCD of 775, 429, 315, 309 Calculator

Given Input numbers are 775, 429, 315, 309

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

Divisors of 775

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

1, 5, 25, 31, 155, 775

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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 775, 429, 315, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 429, 315, 309 is 1.

Therefore, GCD of numbers 775, 429, 315, 309 is 1

Given Input Data is 775, 429, 315, 309

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

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 315 is 3 x 3 x 5 x 7

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(775, 429) = 332475

GCD(775, 429) = ( 775 x 429 ) / 332475

GCD(775, 429) = 332475 / 332475

GCD(775, 429) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 315

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

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

GCD(1, 315) = 315 / 315

GCD(1, 315) = 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 775, 429, 315, 309 is 1

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1. What is the GCD of 775, 429, 315, 309?

GCD of 775, 429, 315, 309 is 1

2. Where do I get the detailed procedure to find GCD of 775, 429, 315, 309?

You can find a detailed procedure to find GCD of 775, 429, 315, 309 on our page.

3. How to find GCD of 775, 429, 315, 309 on a calculator?

You can find the GCD of 775, 429, 315, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.