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 391, 189, 45, 626 i.e. 1 largest integer that divides all the numbers equally.
GCD of 391, 189, 45, 626 is 1
GCD(391, 189, 45, 626) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 391, 189, 45, 626 is 1
GCD(391, 189, 45, 626) = 1
Given Input numbers are 391, 189, 45, 626
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Greatest Common Divisior
We found the divisors of 391, 189, 45, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 189, 45, 626 is 1.
Therefore, GCD of numbers 391, 189, 45, 626 is 1
Given Input Data is 391, 189, 45, 626
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 391 is 17 x 23
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 626 is 2 x 313
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(391, 189) = 73899
GCD(391, 189) = ( 391 x 189 ) / 73899
GCD(391, 189) = 73899 / 73899
GCD(391, 189) = 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 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 626) = 626
GCD(1, 626) = ( 1 x 626 ) / 626
GCD(1, 626) = 626 / 626
GCD(1, 626) = 1
GCD of 391, 189, 45, 626 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 391, 189, 45, 626?
GCD of 391, 189, 45, 626 is 1
2. Where do I get the detailed procedure to find GCD of 391, 189, 45, 626?
You can find a detailed procedure to find GCD of 391, 189, 45, 626 on our page.
3. How to find GCD of 391, 189, 45, 626 on a calculator?
You can find the GCD of 391, 189, 45, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.