GCD of 628, 745, 33, 271 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 628, 745, 33, 271 i.e. 1 largest integer that divides all the numbers equally.

GCD of 628, 745, 33, 271 is 1

GCD(628, 745, 33, 271) = 1

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

GCD of

GCD of numbers 628, 745, 33, 271 is 1

GCD(628, 745, 33, 271) = 1

GCD of 628,745,33,271 Calculator

GCDof 628,745,33,271 is 1

Given Input numbers are 628, 745, 33, 271

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 628, 745, 33, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 745, 33, 271 is 1.

Therefore, GCD of numbers 628, 745, 33, 271 is 1

Finding GCD of 628, 745, 33, 271 using Prime Factorization

Given Input Data is 628, 745, 33, 271

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 745 is 5 x 149

Prime Factorization of 33 is 3 x 11

Prime Factorization of 271 is 271

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

Finding GCD of 628, 745, 33, 271 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(628, 745) = 467860

GCD(628, 745) = ( 628 x 745 ) / 467860

GCD(628, 745) = 467860 / 467860

GCD(628, 745) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 628, 745, 33, 271 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 628, 745, 33, 271

1. What is the GCD of 628, 745, 33, 271?

GCD of 628, 745, 33, 271 is 1


2. Where do I get the detailed procedure to find GCD of 628, 745, 33, 271?

You can find a detailed procedure to find GCD of 628, 745, 33, 271 on our page.


3. How to find GCD of 628, 745, 33, 271 on a calculator?

You can find the GCD of 628, 745, 33, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.