GCD of 65, 916, 355, 309 Calculator

Given Input numbers are 65, 916, 355, 309

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

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

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 65, 916, 355, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 916, 355, 309 is 1.

Therefore, GCD of numbers 65, 916, 355, 309 is 1

Given Input Data is 65, 916, 355, 309

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 355 is 5 x 71

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(65, 916) = 59540

GCD(65, 916) = ( 65 x 916 ) / 59540

GCD(65, 916) = 59540 / 59540

GCD(65, 916) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 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 65, 916, 355, 309 is 1

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• GCD of 86, 474, 778, 953
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1. What is the GCD of 65, 916, 355, 309?

GCD of 65, 916, 355, 309 is 1

2. Where do I get the detailed procedure to find GCD of 65, 916, 355, 309?

You can find a detailed procedure to find GCD of 65, 916, 355, 309 on our page.

3. How to find GCD of 65, 916, 355, 309 on a calculator?

You can find the GCD of 65, 916, 355, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.