GCD of 363, 275, 749, 111 Calculator

Given Input numbers are 363, 275, 749, 111

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 111

List of positive integer divisors of 111 that divides 111 without a remainder.

1, 3, 37, 111

Greatest Common Divisior

We found the divisors of 363, 275, 749, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 275, 749, 111 is 1.

Therefore, GCD of numbers 363, 275, 749, 111 is 1

Given Input Data is 363, 275, 749, 111

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 275 is 5 x 5 x 11

Prime Factorization of 749 is 7 x 107

Prime Factorization of 111 is 3 x 37

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(363, 275) = 9075

GCD(363, 275) = ( 363 x 275 ) / 9075

GCD(363, 275) = 99825 / 9075

GCD(363, 275) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 749

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

LCM(11, 749) = 8239

GCD(11, 749) = ( 11 x 749 ) / 8239

GCD(11, 749) = 8239 / 8239

GCD(11, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 111

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

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

GCD(1, 111) = 111 / 111

GCD(1, 111) = 1

GCD of 363, 275, 749, 111 is 1

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1. What is the GCD of 363, 275, 749, 111?

GCD of 363, 275, 749, 111 is 1

2. Where do I get the detailed procedure to find GCD of 363, 275, 749, 111?

You can find a detailed procedure to find GCD of 363, 275, 749, 111 on our page.

3. How to find GCD of 363, 275, 749, 111 on a calculator?

You can find the GCD of 363, 275, 749, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.