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 813, 926, 960, 140 i.e. 1 largest integer that divides all the numbers equally.
GCD of 813, 926, 960, 140 is 1
GCD(813, 926, 960, 140) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 813, 926, 960, 140 is 1
GCD(813, 926, 960, 140) = 1
Given Input numbers are 813, 926, 960, 140
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Greatest Common Divisior
We found the divisors of 813, 926, 960, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 926, 960, 140 is 1.
Therefore, GCD of numbers 813, 926, 960, 140 is 1
Given Input Data is 813, 926, 960, 140
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 813 is 3 x 271
Prime Factorization of 926 is 2 x 463
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 140 is 2 x 2 x 5 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(813, 926) = 752838
GCD(813, 926) = ( 813 x 926 ) / 752838
GCD(813, 926) = 752838 / 752838
GCD(813, 926) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 960
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
GCD(1, 960) = 960 / 960
GCD(1, 960) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
GCD of 813, 926, 960, 140 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 813, 926, 960, 140?
GCD of 813, 926, 960, 140 is 1
2. Where do I get the detailed procedure to find GCD of 813, 926, 960, 140?
You can find a detailed procedure to find GCD of 813, 926, 960, 140 on our page.
3. How to find GCD of 813, 926, 960, 140 on a calculator?
You can find the GCD of 813, 926, 960, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.