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 824, 133, 26, 340 i.e. 1 largest integer that divides all the numbers equally.
GCD of 824, 133, 26, 340 is 1
GCD(824, 133, 26, 340) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 824, 133, 26, 340 is 1
GCD(824, 133, 26, 340) = 1
Given Input numbers are 824, 133, 26, 340
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Greatest Common Divisior
We found the divisors of 824, 133, 26, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 133, 26, 340 is 1.
Therefore, GCD of numbers 824, 133, 26, 340 is 1
Given Input Data is 824, 133, 26, 340
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 824 is 2 x 2 x 2 x 103
Prime Factorization of 133 is 7 x 19
Prime Factorization of 26 is 2 x 13
Prime Factorization of 340 is 2 x 2 x 5 x 17
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(824, 133) = 109592
GCD(824, 133) = ( 824 x 133 ) / 109592
GCD(824, 133) = 109592 / 109592
GCD(824, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 26) = 26
GCD(1, 26) = ( 1 x 26 ) / 26
GCD(1, 26) = 26 / 26
GCD(1, 26) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 340
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 340) = 340
GCD(1, 340) = ( 1 x 340 ) / 340
GCD(1, 340) = 340 / 340
GCD(1, 340) = 1
GCD of 824, 133, 26, 340 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 824, 133, 26, 340?
GCD of 824, 133, 26, 340 is 1
2. Where do I get the detailed procedure to find GCD of 824, 133, 26, 340?
You can find a detailed procedure to find GCD of 824, 133, 26, 340 on our page.
3. How to find GCD of 824, 133, 26, 340 on a calculator?
You can find the GCD of 824, 133, 26, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.