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 numbers 628, 675, 45, 941 is 1
GCD(628, 675, 45, 941) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.