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 627, 380, 360, 780 i.e. 1 largest integer that divides all the numbers equally.
GCD of 627, 380, 360, 780 is 1
GCD(627, 380, 360, 780) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 627, 380, 360, 780 is 1
GCD(627, 380, 360, 780) = 1
Given Input numbers are 627, 380, 360, 780
To find the GCD of numbers using factoring list out all the divisors of each number
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 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 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 780
List of positive integer divisors of 780 that divides 780 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Greatest Common Divisior
We found the divisors of 627, 380, 360, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 627, 380, 360, 780 is 1.
Therefore, GCD of numbers 627, 380, 360, 780 is 1
Given Input Data is 627, 380, 360, 780
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 627 is 3 x 11 x 19
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13
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(627, 380) = 12540
GCD(627, 380) = ( 627 x 380 ) / 12540
GCD(627, 380) = 238260 / 12540
GCD(627, 380) = 19
Step2:
Here we consider the GCD from the above i.e. 19 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(19, 360) = 6840
GCD(19, 360) = ( 19 x 360 ) / 6840
GCD(19, 360) = 6840 / 6840
GCD(19, 360) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 780
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 780) = 780
GCD(1, 780) = ( 1 x 780 ) / 780
GCD(1, 780) = 780 / 780
GCD(1, 780) = 1
GCD of 627, 380, 360, 780 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 627, 380, 360, 780?
GCD of 627, 380, 360, 780 is 1
2. Where do I get the detailed procedure to find GCD of 627, 380, 360, 780?
You can find a detailed procedure to find GCD of 627, 380, 360, 780 on our page.
3. How to find GCD of 627, 380, 360, 780 on a calculator?
You can find the GCD of 627, 380, 360, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.