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 178, 388, 15, 766 i.e. 1 largest integer that divides all the numbers equally.
GCD of 178, 388, 15, 766 is 1
GCD(178, 388, 15, 766) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 178, 388, 15, 766 is 1
GCD(178, 388, 15, 766) = 1
Given Input numbers are 178, 388, 15, 766
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Greatest Common Divisior
We found the divisors of 178, 388, 15, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 388, 15, 766 is 1.
Therefore, GCD of numbers 178, 388, 15, 766 is 1
Given Input Data is 178, 388, 15, 766
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 178 is 2 x 89
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 15 is 3 x 5
Prime Factorization of 766 is 2 x 383
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(178, 388) = 34532
GCD(178, 388) = ( 178 x 388 ) / 34532
GCD(178, 388) = 69064 / 34532
GCD(178, 388) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 15) = 30
GCD(2, 15) = ( 2 x 15 ) / 30
GCD(2, 15) = 30 / 30
GCD(2, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 766
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 766) = 766
GCD(1, 766) = ( 1 x 766 ) / 766
GCD(1, 766) = 766 / 766
GCD(1, 766) = 1
GCD of 178, 388, 15, 766 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 178, 388, 15, 766?
GCD of 178, 388, 15, 766 is 1
2. Where do I get the detailed procedure to find GCD of 178, 388, 15, 766?
You can find a detailed procedure to find GCD of 178, 388, 15, 766 on our page.
3. How to find GCD of 178, 388, 15, 766 on a calculator?
You can find the GCD of 178, 388, 15, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.