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 748, 845, 836, 291 i.e. 1 largest integer that divides all the numbers equally.
GCD of 748, 845, 836, 291 is 1
GCD(748, 845, 836, 291) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 748, 845, 836, 291 is 1
GCD(748, 845, 836, 291) = 1
Given Input numbers are 748, 845, 836, 291
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 845
List of positive integer divisors of 845 that divides 845 without a remainder.
1, 5, 13, 65, 169, 845
Divisors of 836
List of positive integer divisors of 836 that divides 836 without a remainder.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Greatest Common Divisior
We found the divisors of 748, 845, 836, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 845, 836, 291 is 1.
Therefore, GCD of numbers 748, 845, 836, 291 is 1
Given Input Data is 748, 845, 836, 291
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 845 is 5 x 13 x 13
Prime Factorization of 836 is 2 x 2 x 11 x 19
Prime Factorization of 291 is 3 x 97
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(748, 845) = 632060
GCD(748, 845) = ( 748 x 845 ) / 632060
GCD(748, 845) = 632060 / 632060
GCD(748, 845) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 836
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 836) = 836
GCD(1, 836) = ( 1 x 836 ) / 836
GCD(1, 836) = 836 / 836
GCD(1, 836) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 291
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 291) = 291
GCD(1, 291) = ( 1 x 291 ) / 291
GCD(1, 291) = 291 / 291
GCD(1, 291) = 1
GCD of 748, 845, 836, 291 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 748, 845, 836, 291?
GCD of 748, 845, 836, 291 is 1
2. Where do I get the detailed procedure to find GCD of 748, 845, 836, 291?
You can find a detailed procedure to find GCD of 748, 845, 836, 291 on our page.
3. How to find GCD of 748, 845, 836, 291 on a calculator?
You can find the GCD of 748, 845, 836, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.