GCD of 675, 580, 226, 798 Calculator

Given Input numbers are 675, 580, 226, 798

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Greatest Common Divisior

We found the divisors of 675, 580, 226, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 580, 226, 798 is 1.

Therefore, GCD of numbers 675, 580, 226, 798 is 1

Given Input Data is 675, 580, 226, 798

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 226 is 2 x 113

Prime Factorization of 798 is 2 x 3 x 7 x 19

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(675, 580) = 78300

GCD(675, 580) = ( 675 x 580 ) / 78300

GCD(675, 580) = 391500 / 78300

GCD(675, 580) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 226

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

LCM(5, 226) = 1130

GCD(5, 226) = ( 5 x 226 ) / 1130

GCD(5, 226) = 1130 / 1130

GCD(5, 226) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 675, 580, 226, 798 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 458, 599, 944
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• GCD of 517, 798, 436, 561

1. What is the GCD of 675, 580, 226, 798?

GCD of 675, 580, 226, 798 is 1

2. Where do I get the detailed procedure to find GCD of 675, 580, 226, 798?

You can find a detailed procedure to find GCD of 675, 580, 226, 798 on our page.

3. How to find GCD of 675, 580, 226, 798 on a calculator?

You can find the GCD of 675, 580, 226, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.