GCD of 305, 636, 13, 965 Calculator

Given Input numbers are 305, 636, 13, 965

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

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 965

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

1, 5, 193, 965

Greatest Common Divisior

We found the divisors of 305, 636, 13, 965 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 305, 636, 13, 965 is 1.

Therefore, GCD of numbers 305, 636, 13, 965 is 1

Given Input Data is 305, 636, 13, 965

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

Prime Factorization of 305 is 5 x 61

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 13 is 13

Prime Factorization of 965 is 5 x 193

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(305, 636) = 193980

GCD(305, 636) = ( 305 x 636 ) / 193980

GCD(305, 636) = 193980 / 193980

GCD(305, 636) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

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

GCD of 305, 636, 13, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 900, 92, 469
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• GCD of 612, 716, 93, 364
• GCD of 177, 528, 71, 641
• GCD of 693, 382, 15, 312

1. What is the GCD of 305, 636, 13, 965?

GCD of 305, 636, 13, 965 is 1

2. Where do I get the detailed procedure to find GCD of 305, 636, 13, 965?

You can find a detailed procedure to find GCD of 305, 636, 13, 965 on our page.

3. How to find GCD of 305, 636, 13, 965 on a calculator?

You can find the GCD of 305, 636, 13, 965 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.