GCD of 65, 538, 305, 264 Calculator

Given Input numbers are 65, 538, 305, 264

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 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 305

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

1, 5, 61, 305

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 65, 538, 305, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 538, 305, 264 is 1.

Therefore, GCD of numbers 65, 538, 305, 264 is 1

Given Input Data is 65, 538, 305, 264

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 538 is 2 x 269

Prime Factorization of 305 is 5 x 61

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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, 538) = 34970

GCD(65, 538) = ( 65 x 538 ) / 34970

GCD(65, 538) = 34970 / 34970

GCD(65, 538) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 305

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

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

GCD(1, 305) = 305 / 305

GCD(1, 305) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 65, 538, 305, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 24, 831, 869, 906
• GCD of 61, 180, 118, 742
• GCD of 68, 937, 600, 815
• GCD of 49, 372, 527, 434
• GCD of 78, 789, 400, 107

1. What is the GCD of 65, 538, 305, 264?

GCD of 65, 538, 305, 264 is 1

2. Where do I get the detailed procedure to find GCD of 65, 538, 305, 264?

You can find a detailed procedure to find GCD of 65, 538, 305, 264 on our page.

3. How to find GCD of 65, 538, 305, 264 on a calculator?

You can find the GCD of 65, 538, 305, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.