GCD of 982, 726, 75, 255 Calculator

Given Input numbers are 982, 726, 75, 255

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 255

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

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

Greatest Common Divisior

We found the divisors of 982, 726, 75, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 726, 75, 255 is 1.

Therefore, GCD of numbers 982, 726, 75, 255 is 1

Given Input Data is 982, 726, 75, 255

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 255 is 3 x 5 x 17

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(982, 726) = 356466

GCD(982, 726) = ( 982 x 726 ) / 356466

GCD(982, 726) = 712932 / 356466

GCD(982, 726) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 982, 726, 75, 255 is 1

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1. What is the GCD of 982, 726, 75, 255?

GCD of 982, 726, 75, 255 is 1

2. Where do I get the detailed procedure to find GCD of 982, 726, 75, 255?

You can find a detailed procedure to find GCD of 982, 726, 75, 255 on our page.

3. How to find GCD of 982, 726, 75, 255 on a calculator?

You can find the GCD of 982, 726, 75, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.