GCD of 96, 795, 800, 261 Calculator

Given Input numbers are 96, 795, 800, 261

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 96, 795, 800, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 795, 800, 261 is 1.

Therefore, GCD of numbers 96, 795, 800, 261 is 1

Given Input Data is 96, 795, 800, 261

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 261 is 3 x 3 x 29

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(96, 795) = 25440

GCD(96, 795) = ( 96 x 795 ) / 25440

GCD(96, 795) = 76320 / 25440

GCD(96, 795) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 800

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

LCM(3, 800) = 2400

GCD(3, 800) = ( 3 x 800 ) / 2400

GCD(3, 800) = 2400 / 2400

GCD(3, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 261

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

LCM(1, 261) = 261

GCD(1, 261) = ( 1 x 261 ) / 261

GCD(1, 261) = 261 / 261

GCD(1, 261) = 1

GCD of 96, 795, 800, 261 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 998, 283, 496
• GCD of 56, 511, 328, 149
• GCD of 10, 596, 783, 549
• GCD of 48, 677, 719, 507
• GCD of 63, 374, 951, 324

1. What is the GCD of 96, 795, 800, 261?

GCD of 96, 795, 800, 261 is 1

2. Where do I get the detailed procedure to find GCD of 96, 795, 800, 261?

You can find a detailed procedure to find GCD of 96, 795, 800, 261 on our page.

3. How to find GCD of 96, 795, 800, 261 on a calculator?

You can find the GCD of 96, 795, 800, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.