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 913, 811, 21, 760 i.e. 1 largest integer that divides all the numbers equally.
GCD of 913, 811, 21, 760 is 1
GCD(913, 811, 21, 760) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 913, 811, 21, 760 is 1
GCD(913, 811, 21, 760) = 1
Given Input numbers are 913, 811, 21, 760
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Greatest Common Divisior
We found the divisors of 913, 811, 21, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 811, 21, 760 is 1.
Therefore, GCD of numbers 913, 811, 21, 760 is 1
Given Input Data is 913, 811, 21, 760
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 913 is 11 x 83
Prime Factorization of 811 is 811
Prime Factorization of 21 is 3 x 7
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
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(913, 811) = 740443
GCD(913, 811) = ( 913 x 811 ) / 740443
GCD(913, 811) = 740443 / 740443
GCD(913, 811) = 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 760
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 760) = 760
GCD(1, 760) = ( 1 x 760 ) / 760
GCD(1, 760) = 760 / 760
GCD(1, 760) = 1
GCD of 913, 811, 21, 760 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 913, 811, 21, 760?
GCD of 913, 811, 21, 760 is 1
2. Where do I get the detailed procedure to find GCD of 913, 811, 21, 760?
You can find a detailed procedure to find GCD of 913, 811, 21, 760 on our page.
3. How to find GCD of 913, 811, 21, 760 on a calculator?
You can find the GCD of 913, 811, 21, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.