GCD of 748, 879, 45, 973 Calculator

Given Input numbers are 748, 879, 45, 973

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 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 748, 879, 45, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 879, 45, 973 is 1.

Therefore, GCD of numbers 748, 879, 45, 973 is 1

Given Input Data is 748, 879, 45, 973

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 879 is 3 x 293

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 973 is 7 x 139

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, 879) = 657492

GCD(748, 879) = ( 748 x 879 ) / 657492

GCD(748, 879) = 657492 / 657492

GCD(748, 879) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 748, 879, 45, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 713, 386, 78, 845
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1. What is the GCD of 748, 879, 45, 973?

GCD of 748, 879, 45, 973 is 1

2. Where do I get the detailed procedure to find GCD of 748, 879, 45, 973?

You can find a detailed procedure to find GCD of 748, 879, 45, 973 on our page.

3. How to find GCD of 748, 879, 45, 973 on a calculator?

You can find the GCD of 748, 879, 45, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.