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, 291, 614, 162 i.e. 1 largest integer that divides all the numbers equally.
GCD of 388, 291, 614, 162 is 1
GCD(388, 291, 614, 162) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 388, 291, 614, 162 is 1
GCD(388, 291, 614, 162) = 1
Given Input numbers are 388, 291, 614, 162
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 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 614
List of positive integer divisors of 614 that divides 614 without a remainder.
1, 2, 307, 614
Divisors of 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Greatest Common Divisior
We found the divisors of 388, 291, 614, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 291, 614, 162 is 1.
Therefore, GCD of numbers 388, 291, 614, 162 is 1
Given Input Data is 388, 291, 614, 162
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 291 is 3 x 97
Prime Factorization of 614 is 2 x 307
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
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, 291) = 1164
GCD(388, 291) = ( 388 x 291 ) / 1164
GCD(388, 291) = 112908 / 1164
GCD(388, 291) = 97
Step2:
Here we consider the GCD from the above i.e. 97 as first number and the next as 614
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(97, 614) = 59558
GCD(97, 614) = ( 97 x 614 ) / 59558
GCD(97, 614) = 59558 / 59558
GCD(97, 614) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 162
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 162) = 162
GCD(1, 162) = ( 1 x 162 ) / 162
GCD(1, 162) = 162 / 162
GCD(1, 162) = 1
GCD of 388, 291, 614, 162 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 388, 291, 614, 162?
GCD of 388, 291, 614, 162 is 1
2. Where do I get the detailed procedure to find GCD of 388, 291, 614, 162?
You can find a detailed procedure to find GCD of 388, 291, 614, 162 on our page.
3. How to find GCD of 388, 291, 614, 162 on a calculator?
You can find the GCD of 388, 291, 614, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.