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, 771, 15, 711 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 771, 15, 711 is 1
GCD(814, 771, 15, 711) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 771, 15, 711 is 1
GCD(814, 771, 15, 711) = 1
Given Input numbers are 814, 771, 15, 711
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 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Greatest Common Divisior
We found the divisors of 814, 771, 15, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 771, 15, 711 is 1.
Therefore, GCD of numbers 814, 771, 15, 711 is 1
Given Input Data is 814, 771, 15, 711
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 771 is 3 x 257
Prime Factorization of 15 is 3 x 5
Prime Factorization of 711 is 3 x 3 x 79
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, 771) = 627594
GCD(814, 771) = ( 814 x 771 ) / 627594
GCD(814, 771) = 627594 / 627594
GCD(814, 771) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 711) = 711
GCD(1, 711) = ( 1 x 711 ) / 711
GCD(1, 711) = 711 / 711
GCD(1, 711) = 1
GCD of 814, 771, 15, 711 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 771, 15, 711?
GCD of 814, 771, 15, 711 is 1
2. Where do I get the detailed procedure to find GCD of 814, 771, 15, 711?
You can find a detailed procedure to find GCD of 814, 771, 15, 711 on our page.
3. How to find GCD of 814, 771, 15, 711 on a calculator?
You can find the GCD of 814, 771, 15, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.