GCD of 748, 121, 365, 563 Calculator

Given Input numbers are 748, 121, 365, 563

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

Greatest Common Divisior

We found the divisors of 748, 121, 365, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 121, 365, 563 is 1.

Therefore, GCD of numbers 748, 121, 365, 563 is 1

Given Input Data is 748, 121, 365, 563

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 121 is 11 x 11

Prime Factorization of 365 is 5 x 73

Prime Factorization of 563 is 563

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(748, 121) = 8228

GCD(748, 121) = ( 748 x 121 ) / 8228

GCD(748, 121) = 90508 / 8228

GCD(748, 121) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 365

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

LCM(11, 365) = 4015

GCD(11, 365) = ( 11 x 365 ) / 4015

GCD(11, 365) = 4015 / 4015

GCD(11, 365) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 563

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

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

GCD(1, 563) = 563 / 563

GCD(1, 563) = 1

GCD of 748, 121, 365, 563 is 1

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1. What is the GCD of 748, 121, 365, 563?

GCD of 748, 121, 365, 563 is 1

2. Where do I get the detailed procedure to find GCD of 748, 121, 365, 563?

You can find a detailed procedure to find GCD of 748, 121, 365, 563 on our page.

3. How to find GCD of 748, 121, 365, 563 on a calculator?

You can find the GCD of 748, 121, 365, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.