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 814, 103, 379, 995 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 103, 379, 995 is 1
GCD(814, 103, 379, 995) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 103, 379, 995 is 1
GCD(814, 103, 379, 995) = 1
Given Input numbers are 814, 103, 379, 995
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 995
List of positive integer divisors of 995 that divides 995 without a remainder.
1, 5, 199, 995
Greatest Common Divisior
We found the divisors of 814, 103, 379, 995 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 103, 379, 995 is 1.
Therefore, GCD of numbers 814, 103, 379, 995 is 1
Given Input Data is 814, 103, 379, 995
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 103 is 103
Prime Factorization of 379 is 379
Prime Factorization of 995 is 5 x 199
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(814, 103) = 83842
GCD(814, 103) = ( 814 x 103 ) / 83842
GCD(814, 103) = 83842 / 83842
GCD(814, 103) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 379) = 379
GCD(1, 379) = ( 1 x 379 ) / 379
GCD(1, 379) = 379 / 379
GCD(1, 379) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 995
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 995) = 995
GCD(1, 995) = ( 1 x 995 ) / 995
GCD(1, 995) = 995 / 995
GCD(1, 995) = 1
GCD of 814, 103, 379, 995 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 103, 379, 995?
GCD of 814, 103, 379, 995 is 1
2. Where do I get the detailed procedure to find GCD of 814, 103, 379, 995?
You can find a detailed procedure to find GCD of 814, 103, 379, 995 on our page.
3. How to find GCD of 814, 103, 379, 995 on a calculator?
You can find the GCD of 814, 103, 379, 995 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.