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 910, 295, 42, 388 i.e. 1 largest integer that divides all the numbers equally.
GCD of 910, 295, 42, 388 is 1
GCD(910, 295, 42, 388) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 910, 295, 42, 388 is 1
GCD(910, 295, 42, 388) = 1
Given Input numbers are 910, 295, 42, 388
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 910
List of positive integer divisors of 910 that divides 910 without a remainder.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 295
List of positive integer divisors of 295 that divides 295 without a remainder.
1, 5, 59, 295
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Greatest Common Divisior
We found the divisors of 910, 295, 42, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 295, 42, 388 is 1.
Therefore, GCD of numbers 910, 295, 42, 388 is 1
Given Input Data is 910, 295, 42, 388
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 910 is 2 x 5 x 7 x 13
Prime Factorization of 295 is 5 x 59
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 388 is 2 x 2 x 97
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(910, 295) = 53690
GCD(910, 295) = ( 910 x 295 ) / 53690
GCD(910, 295) = 268450 / 53690
GCD(910, 295) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 42) = 210
GCD(5, 42) = ( 5 x 42 ) / 210
GCD(5, 42) = 210 / 210
GCD(5, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 388) = 388
GCD(1, 388) = ( 1 x 388 ) / 388
GCD(1, 388) = 388 / 388
GCD(1, 388) = 1
GCD of 910, 295, 42, 388 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 910, 295, 42, 388?
GCD of 910, 295, 42, 388 is 1
2. Where do I get the detailed procedure to find GCD of 910, 295, 42, 388?
You can find a detailed procedure to find GCD of 910, 295, 42, 388 on our page.
3. How to find GCD of 910, 295, 42, 388 on a calculator?
You can find the GCD of 910, 295, 42, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.