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 388, 305, 152, 695 i.e. 1 largest integer that divides all the numbers equally.
GCD of 388, 305, 152, 695 is 1
GCD(388, 305, 152, 695) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 388, 305, 152, 695 is 1
GCD(388, 305, 152, 695) = 1
Given Input numbers are 388, 305, 152, 695
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Greatest Common Divisior
We found the divisors of 388, 305, 152, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 305, 152, 695 is 1.
Therefore, GCD of numbers 388, 305, 152, 695 is 1
Given Input Data is 388, 305, 152, 695
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 305 is 5 x 61
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 695 is 5 x 139
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(388, 305) = 118340
GCD(388, 305) = ( 388 x 305 ) / 118340
GCD(388, 305) = 118340 / 118340
GCD(388, 305) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
GCD(1, 695) = 695 / 695
GCD(1, 695) = 1
GCD of 388, 305, 152, 695 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 388, 305, 152, 695?
GCD of 388, 305, 152, 695 is 1
2. Where do I get the detailed procedure to find GCD of 388, 305, 152, 695?
You can find a detailed procedure to find GCD of 388, 305, 152, 695 on our page.
3. How to find GCD of 388, 305, 152, 695 on a calculator?
You can find the GCD of 388, 305, 152, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.