GCD of 260, 900, 73, 102 Calculator

Given Input numbers are 260, 900, 73, 102

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

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 260, 900, 73, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 900, 73, 102 is 1.

Therefore, GCD of numbers 260, 900, 73, 102 is 1

Given Input Data is 260, 900, 73, 102

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 73 is 73

Prime Factorization of 102 is 2 x 3 x 17

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(260, 900) = 11700

GCD(260, 900) = ( 260 x 900 ) / 11700

GCD(260, 900) = 234000 / 11700

GCD(260, 900) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 73

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

LCM(20, 73) = 1460

GCD(20, 73) = ( 20 x 73 ) / 1460

GCD(20, 73) = 1460 / 1460

GCD(20, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 260, 900, 73, 102 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 330, 20, 389
• GCD of 776, 748, 90, 679
• GCD of 345, 979, 48, 826
• GCD of 258, 734, 88, 779
• GCD of 664, 693, 39, 486

1. What is the GCD of 260, 900, 73, 102?

GCD of 260, 900, 73, 102 is 1

2. Where do I get the detailed procedure to find GCD of 260, 900, 73, 102?

You can find a detailed procedure to find GCD of 260, 900, 73, 102 on our page.

3. How to find GCD of 260, 900, 73, 102 on a calculator?

You can find the GCD of 260, 900, 73, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.