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 153, 190, 78, 114 i.e. 1 largest integer that divides all the numbers equally.
GCD of 153, 190, 78, 114 is 1
GCD(153, 190, 78, 114) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 153, 190, 78, 114 is 1
GCD(153, 190, 78, 114) = 1
Given Input numbers are 153, 190, 78, 114
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 153, 190, 78, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 190, 78, 114 is 1.
Therefore, GCD of numbers 153, 190, 78, 114 is 1
Given Input Data is 153, 190, 78, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 114 is 2 x 3 x 19
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(153, 190) = 29070
GCD(153, 190) = ( 153 x 190 ) / 29070
GCD(153, 190) = 29070 / 29070
GCD(153, 190) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
GCD(1, 114) = 114 / 114
GCD(1, 114) = 1
GCD of 153, 190, 78, 114 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 153, 190, 78, 114?
GCD of 153, 190, 78, 114 is 1
2. Where do I get the detailed procedure to find GCD of 153, 190, 78, 114?
You can find a detailed procedure to find GCD of 153, 190, 78, 114 on our page.
3. How to find GCD of 153, 190, 78, 114 on a calculator?
You can find the GCD of 153, 190, 78, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.