GCD of 800, 253, 745 Calculator

Given Input numbers are 800, 253, 745

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

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 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 800, 253, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 253, 745 is 1.

Therefore, GCD of numbers 800, 253, 745 is 1

Given Input Data is 800, 253, 745

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

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 745 is 5 x 149

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(800, 253) = 202400

GCD(800, 253) = ( 800 x 253 ) / 202400

GCD(800, 253) = 202400 / 202400

GCD(800, 253) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 800, 253, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 134, 545
• GCD of 809, 613, 230
• GCD of 921, 399, 292
• GCD of 352, 279, 222
• GCD of 584, 965, 710

1. What is the GCD of 800, 253, 745?

GCD of 800, 253, 745 is 1

2. Where do I get the detailed procedure to find GCD of 800, 253, 745?

You can find a detailed procedure to find GCD of 800, 253, 745 on our page.

3. How to find GCD of 800, 253, 745 on a calculator?

You can find the GCD of 800, 253, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.