GCD of 675, 798, 538 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCD Calculator to determine the Greatest Common Divisor of 675, 798, 538 i.e. 1 largest integer that divides all the numbers equally.

GCD of 675, 798, 538 is 1

GCD(675, 798, 538) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 675, 798, 538 is 1

GCD(675, 798, 538) = 1

GCD of 675,798,538 Calculator

GCDof 675,798,538 is 1

Given Input numbers are 675, 798, 538

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 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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 675, 798, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 798, 538 is 1.

Therefore, GCD of numbers 675, 798, 538 is 1

Finding GCD of 675, 798, 538 using Prime Factorization

Given Input Data is 675, 798, 538

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 798 is 2 x 3 x 7 x 19

Prime Factorization of 538 is 2 x 269

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 675, 798, 538 using LCM Formula

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, 798) = 179550

GCD(675, 798) = ( 675 x 798 ) / 179550

GCD(675, 798) = 538650 / 179550

GCD(675, 798) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 538

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

LCM(3, 538) = 1614

GCD(3, 538) = ( 3 x 538 ) / 1614

GCD(3, 538) = 1614 / 1614

GCD(3, 538) = 1

GCD of 675, 798, 538 is 1

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FAQs on GCD of numbers 675, 798, 538

1. What is the GCD of 675, 798, 538?

GCD of 675, 798, 538 is 1

2. Where do I get the detailed procedure to find GCD of 675, 798, 538?

You can find a detailed procedure to find GCD of 675, 798, 538 on our page.

3. How to find GCD of 675, 798, 538 on a calculator?

You can find the GCD of 675, 798, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.