GCD of 755, 723, 208 Calculator

Given Input numbers are 755, 723, 208

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

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

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

Greatest Common Divisior

We found the divisors of 755, 723, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 755, 723, 208 is 1.

Therefore, GCD of numbers 755, 723, 208 is 1

Given Input Data is 755, 723, 208

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

Prime Factorization of 755 is 5 x 151

Prime Factorization of 723 is 3 x 241

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

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(755, 723) = 545865

GCD(755, 723) = ( 755 x 723 ) / 545865

GCD(755, 723) = 545865 / 545865

GCD(755, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 755, 723, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 681, 804
• GCD of 101, 260, 891
• GCD of 183, 581, 860
• GCD of 794, 326, 687
• GCD of 356, 277, 975

1. What is the GCD of 755, 723, 208?

GCD of 755, 723, 208 is 1

2. Where do I get the detailed procedure to find GCD of 755, 723, 208?

You can find a detailed procedure to find GCD of 755, 723, 208 on our page.

3. How to find GCD of 755, 723, 208 on a calculator?

You can find the GCD of 755, 723, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.