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 815, 380, 42, 776 i.e. 1 largest integer that divides all the numbers equally.
GCD of 815, 380, 42, 776 is 1
GCD(815, 380, 42, 776) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 815, 380, 42, 776 is 1
GCD(815, 380, 42, 776) = 1
Given Input numbers are 815, 380, 42, 776
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 380
List of positive integer divisors of 380 that divides 380 without a remainder.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Greatest Common Divisior
We found the divisors of 815, 380, 42, 776 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 380, 42, 776 is 1.
Therefore, GCD of numbers 815, 380, 42, 776 is 1
Given Input Data is 815, 380, 42, 776
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 815 is 5 x 163
Prime Factorization of 380 is 2 x 2 x 5 x 19
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 776 is 2 x 2 x 2 x 97
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(815, 380) = 61940
GCD(815, 380) = ( 815 x 380 ) / 61940
GCD(815, 380) = 309700 / 61940
GCD(815, 380) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 42) = 210
GCD(5, 42) = ( 5 x 42 ) / 210
GCD(5, 42) = 210 / 210
GCD(5, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 776
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 776) = 776
GCD(1, 776) = ( 1 x 776 ) / 776
GCD(1, 776) = 776 / 776
GCD(1, 776) = 1
GCD of 815, 380, 42, 776 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 815, 380, 42, 776?
GCD of 815, 380, 42, 776 is 1
2. Where do I get the detailed procedure to find GCD of 815, 380, 42, 776?
You can find a detailed procedure to find GCD of 815, 380, 42, 776 on our page.
3. How to find GCD of 815, 380, 42, 776 on a calculator?
You can find the GCD of 815, 380, 42, 776 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.