GCD of 253, 800, 703, 756 Calculator

Given Input numbers are 253, 800, 703, 756

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

Divisors of 253

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

1, 11, 23, 253

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 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Greatest Common Divisior

We found the divisors of 253, 800, 703, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 800, 703, 756 is 1.

Therefore, GCD of numbers 253, 800, 703, 756 is 1

Given Input Data is 253, 800, 703, 756

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

Prime Factorization of 253 is 11 x 23

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(253, 800) = 202400

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

GCD(253, 800) = 202400 / 202400

GCD(253, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 703

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

LCM(1, 703) = 703

GCD(1, 703) = ( 1 x 703 ) / 703

GCD(1, 703) = 703 / 703

GCD(1, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 756

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

LCM(1, 756) = 756

GCD(1, 756) = ( 1 x 756 ) / 756

GCD(1, 756) = 756 / 756

GCD(1, 756) = 1

GCD of 253, 800, 703, 756 is 1

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1. What is the GCD of 253, 800, 703, 756?

GCD of 253, 800, 703, 756 is 1

2. Where do I get the detailed procedure to find GCD of 253, 800, 703, 756?

You can find a detailed procedure to find GCD of 253, 800, 703, 756 on our page.

3. How to find GCD of 253, 800, 703, 756 on a calculator?

You can find the GCD of 253, 800, 703, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.