GCD of 255, 280, 767, 710 Calculator

Given Input numbers are 255, 280, 767, 710

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

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 255, 280, 767, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 255, 280, 767, 710 is 1.

Therefore, GCD of numbers 255, 280, 767, 710 is 1

Given Input Data is 255, 280, 767, 710

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

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 767 is 13 x 59

Prime Factorization of 710 is 2 x 5 x 71

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(255, 280) = 14280

GCD(255, 280) = ( 255 x 280 ) / 14280

GCD(255, 280) = 71400 / 14280

GCD(255, 280) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 767

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

LCM(5, 767) = 3835

GCD(5, 767) = ( 5 x 767 ) / 3835

GCD(5, 767) = 3835 / 3835

GCD(5, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 710

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

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

GCD(1, 710) = 710 / 710

GCD(1, 710) = 1

GCD of 255, 280, 767, 710 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 598, 605, 789
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• GCD of 180, 643, 133, 709

1. What is the GCD of 255, 280, 767, 710?

GCD of 255, 280, 767, 710 is 1

2. Where do I get the detailed procedure to find GCD of 255, 280, 767, 710?

You can find a detailed procedure to find GCD of 255, 280, 767, 710 on our page.

3. How to find GCD of 255, 280, 767, 710 on a calculator?

You can find the GCD of 255, 280, 767, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.