GCD of 208, 800, 87, 759 Calculator

Given Input numbers are 208, 800, 87, 759

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 208, 800, 87, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 800, 87, 759 is 1.

Therefore, GCD of numbers 208, 800, 87, 759 is 1

Given Input Data is 208, 800, 87, 759

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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

Prime Factorization of 87 is 3 x 29

Prime Factorization of 759 is 3 x 11 x 23

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(208, 800) = 10400

GCD(208, 800) = ( 208 x 800 ) / 10400

GCD(208, 800) = 166400 / 10400

GCD(208, 800) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 87

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

LCM(16, 87) = 1392

GCD(16, 87) = ( 16 x 87 ) / 1392

GCD(16, 87) = 1392 / 1392

GCD(16, 87) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 759

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

LCM(1, 759) = 759

GCD(1, 759) = ( 1 x 759 ) / 759

GCD(1, 759) = 759 / 759

GCD(1, 759) = 1

GCD of 208, 800, 87, 759 is 1

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• GCD of 763, 310, 17, 880
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1. What is the GCD of 208, 800, 87, 759?

GCD of 208, 800, 87, 759 is 1

2. Where do I get the detailed procedure to find GCD of 208, 800, 87, 759?

You can find a detailed procedure to find GCD of 208, 800, 87, 759 on our page.

3. How to find GCD of 208, 800, 87, 759 on a calculator?

You can find the GCD of 208, 800, 87, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.