GCD of 753, 973, 75, 398 Calculator

Given Input numbers are 753, 973, 75, 398

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 973

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

1, 7, 139, 973

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 753, 973, 75, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 973, 75, 398 is 1.

Therefore, GCD of numbers 753, 973, 75, 398 is 1

Given Input Data is 753, 973, 75, 398

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 973 is 7 x 139

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 398 is 2 x 199

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(753, 973) = 732669

GCD(753, 973) = ( 753 x 973 ) / 732669

GCD(753, 973) = 732669 / 732669

GCD(753, 973) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 753, 973, 75, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 903, 40, 424
• GCD of 646, 578, 34, 996
• GCD of 839, 980, 37, 716
• GCD of 876, 570, 32, 663
• GCD of 778, 404, 53, 213

1. What is the GCD of 753, 973, 75, 398?

GCD of 753, 973, 75, 398 is 1

2. Where do I get the detailed procedure to find GCD of 753, 973, 75, 398?

You can find a detailed procedure to find GCD of 753, 973, 75, 398 on our page.

3. How to find GCD of 753, 973, 75, 398 on a calculator?

You can find the GCD of 753, 973, 75, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.