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 103, 772, 815, 142 i.e. 1 largest integer that divides all the numbers equally.
GCD of 103, 772, 815, 142 is 1
GCD(103, 772, 815, 142) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 103, 772, 815, 142 is 1
GCD(103, 772, 815, 142) = 1
Given Input numbers are 103, 772, 815, 142
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 772
List of positive integer divisors of 772 that divides 772 without a remainder.
1, 2, 4, 193, 386, 772
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Greatest Common Divisior
We found the divisors of 103, 772, 815, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 772, 815, 142 is 1.
Therefore, GCD of numbers 103, 772, 815, 142 is 1
Given Input Data is 103, 772, 815, 142
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 103 is 103
Prime Factorization of 772 is 2 x 2 x 193
Prime Factorization of 815 is 5 x 163
Prime Factorization of 142 is 2 x 71
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(103, 772) = 79516
GCD(103, 772) = ( 103 x 772 ) / 79516
GCD(103, 772) = 79516 / 79516
GCD(103, 772) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 815
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 815) = 815
GCD(1, 815) = ( 1 x 815 ) / 815
GCD(1, 815) = 815 / 815
GCD(1, 815) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 142
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 142) = 142
GCD(1, 142) = ( 1 x 142 ) / 142
GCD(1, 142) = 142 / 142
GCD(1, 142) = 1
GCD of 103, 772, 815, 142 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 103, 772, 815, 142?
GCD of 103, 772, 815, 142 is 1
2. Where do I get the detailed procedure to find GCD of 103, 772, 815, 142?
You can find a detailed procedure to find GCD of 103, 772, 815, 142 on our page.
3. How to find GCD of 103, 772, 815, 142 on a calculator?
You can find the GCD of 103, 772, 815, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.