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 381, 878, 10, 612 i.e. 1 largest integer that divides all the numbers equally.
GCD of 381, 878, 10, 612 is 1
GCD(381, 878, 10, 612) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 381, 878, 10, 612 is 1
GCD(381, 878, 10, 612) = 1
Given Input numbers are 381, 878, 10, 612
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 381
List of positive integer divisors of 381 that divides 381 without a remainder.
1, 3, 127, 381
Divisors of 878
List of positive integer divisors of 878 that divides 878 without a remainder.
1, 2, 439, 878
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Greatest Common Divisior
We found the divisors of 381, 878, 10, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 878, 10, 612 is 1.
Therefore, GCD of numbers 381, 878, 10, 612 is 1
Given Input Data is 381, 878, 10, 612
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 381 is 3 x 127
Prime Factorization of 878 is 2 x 439
Prime Factorization of 10 is 2 x 5
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
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(381, 878) = 334518
GCD(381, 878) = ( 381 x 878 ) / 334518
GCD(381, 878) = 334518 / 334518
GCD(381, 878) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 612
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 612) = 612
GCD(1, 612) = ( 1 x 612 ) / 612
GCD(1, 612) = 612 / 612
GCD(1, 612) = 1
GCD of 381, 878, 10, 612 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 381, 878, 10, 612?
GCD of 381, 878, 10, 612 is 1
2. Where do I get the detailed procedure to find GCD of 381, 878, 10, 612?
You can find a detailed procedure to find GCD of 381, 878, 10, 612 on our page.
3. How to find GCD of 381, 878, 10, 612 on a calculator?
You can find the GCD of 381, 878, 10, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.