GCD of 628, 675, 45, 941 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, 675, 45, 941 i.e. 1 largest integer that divides all the numbers equally.

GCD of 628, 675, 45, 941 is 1

GCD(628, 675, 45, 941) = 1

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

GCD of

GCD of numbers 628, 675, 45, 941 is 1

GCD(628, 675, 45, 941) = 1

GCD of 628,675,45,941 Calculator

GCDof 628,675,45,941 is 1

Given Input numbers are 628, 675, 45, 941

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 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 45

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

1, 3, 5, 9, 15, 45

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Greatest Common Divisior

We found the divisors of 628, 675, 45, 941 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 675, 45, 941 is 1.

Therefore, GCD of numbers 628, 675, 45, 941 is 1

Finding GCD of 628, 675, 45, 941 using Prime Factorization

Given Input Data is 628, 675, 45, 941

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 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 941 is 941

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

Finding GCD of 628, 675, 45, 941 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, 675) = 423900

GCD(628, 675) = ( 628 x 675 ) / 423900

GCD(628, 675) = 423900 / 423900

GCD(628, 675) = 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 941

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

LCM(1, 941) = 941

GCD(1, 941) = ( 1 x 941 ) / 941

GCD(1, 941) = 941 / 941

GCD(1, 941) = 1

GCD of 628, 675, 45, 941 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 628, 675, 45, 941

1. What is the GCD of 628, 675, 45, 941?

GCD of 628, 675, 45, 941 is 1


2. Where do I get the detailed procedure to find GCD of 628, 675, 45, 941?

You can find a detailed procedure to find GCD of 628, 675, 45, 941 on our page.


3. How to find GCD of 628, 675, 45, 941 on a calculator?

You can find the GCD of 628, 675, 45, 941 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.