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 380, 490, 627, 905 i.e. 1 largest integer that divides all the numbers equally.
GCD of 380, 490, 627, 905 is 1
GCD(380, 490, 627, 905) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 380, 490, 627, 905 is 1
GCD(380, 490, 627, 905) = 1
Given Input numbers are 380, 490, 627, 905
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Greatest Common Divisior
We found the divisors of 380, 490, 627, 905 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 490, 627, 905 is 1.
Therefore, GCD of numbers 380, 490, 627, 905 is 1
Given Input Data is 380, 490, 627, 905
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 905 is 5 x 181
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(380, 490) = 18620
GCD(380, 490) = ( 380 x 490 ) / 18620
GCD(380, 490) = 186200 / 18620
GCD(380, 490) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 627
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 627) = 6270
GCD(10, 627) = ( 10 x 627 ) / 6270
GCD(10, 627) = 6270 / 6270
GCD(10, 627) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 905
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 905) = 905
GCD(1, 905) = ( 1 x 905 ) / 905
GCD(1, 905) = 905 / 905
GCD(1, 905) = 1
GCD of 380, 490, 627, 905 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 380, 490, 627, 905?
GCD of 380, 490, 627, 905 is 1
2. Where do I get the detailed procedure to find GCD of 380, 490, 627, 905?
You can find a detailed procedure to find GCD of 380, 490, 627, 905 on our page.
3. How to find GCD of 380, 490, 627, 905 on a calculator?
You can find the GCD of 380, 490, 627, 905 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.