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 711, 914, 21 i.e. 1 largest integer that divides all the numbers equally.
GCD of 711, 914, 21 is 1
GCD(711, 914, 21) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 711, 914, 21 is 1
GCD(711, 914, 21) = 1
Given Input numbers are 711, 914, 21
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Greatest Common Divisior
We found the divisors of 711, 914, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 914, 21 is 1.
Therefore, GCD of numbers 711, 914, 21 is 1
Given Input Data is 711, 914, 21
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 914 is 2 x 457
Prime Factorization of 21 is 3 x 7
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(711, 914) = 649854
GCD(711, 914) = ( 711 x 914 ) / 649854
GCD(711, 914) = 649854 / 649854
GCD(711, 914) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 21) = 21
GCD(1, 21) = ( 1 x 21 ) / 21
GCD(1, 21) = 21 / 21
GCD(1, 21) = 1
GCD of 711, 914, 21 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 711, 914, 21?
GCD of 711, 914, 21 is 1
2. Where do I get the detailed procedure to find GCD of 711, 914, 21?
You can find a detailed procedure to find GCD of 711, 914, 21 on our page.
3. How to find GCD of 711, 914, 21 on a calculator?
You can find the GCD of 711, 914, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.