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, 613, 778, 426 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 613, 778, 426 is 1
GCD(814, 613, 778, 426) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 613, 778, 426 is 1
GCD(814, 613, 778, 426) = 1
Given Input numbers are 814, 613, 778, 426
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 613
List of positive integer divisors of 613 that divides 613 without a remainder.
1, 613
Divisors of 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Greatest Common Divisior
We found the divisors of 814, 613, 778, 426 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 613, 778, 426 is 1.
Therefore, GCD of numbers 814, 613, 778, 426 is 1
Given Input Data is 814, 613, 778, 426
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 613 is 613
Prime Factorization of 778 is 2 x 389
Prime Factorization of 426 is 2 x 3 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(814, 613) = 498982
GCD(814, 613) = ( 814 x 613 ) / 498982
GCD(814, 613) = 498982 / 498982
GCD(814, 613) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 426) = 426
GCD(1, 426) = ( 1 x 426 ) / 426
GCD(1, 426) = 426 / 426
GCD(1, 426) = 1
GCD of 814, 613, 778, 426 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 613, 778, 426?
GCD of 814, 613, 778, 426 is 1
2. Where do I get the detailed procedure to find GCD of 814, 613, 778, 426?
You can find a detailed procedure to find GCD of 814, 613, 778, 426 on our page.
3. How to find GCD of 814, 613, 778, 426 on a calculator?
You can find the GCD of 814, 613, 778, 426 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.