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 341, 748, 794, 933 i.e. 1 largest integer that divides all the numbers equally.
GCD of 341, 748, 794, 933 is 1
GCD(341, 748, 794, 933) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 341, 748, 794, 933 is 1
GCD(341, 748, 794, 933) = 1
Given Input numbers are 341, 748, 794, 933
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
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 794
List of positive integer divisors of 794 that divides 794 without a remainder.
1, 2, 397, 794
Divisors of 933
List of positive integer divisors of 933 that divides 933 without a remainder.
1, 3, 311, 933
Greatest Common Divisior
We found the divisors of 341, 748, 794, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 341, 748, 794, 933 is 1.
Therefore, GCD of numbers 341, 748, 794, 933 is 1
Given Input Data is 341, 748, 794, 933
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 341 is 11 x 31
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 794 is 2 x 397
Prime Factorization of 933 is 3 x 311
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(341, 748) = 23188
GCD(341, 748) = ( 341 x 748 ) / 23188
GCD(341, 748) = 255068 / 23188
GCD(341, 748) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 794
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 794) = 8734
GCD(11, 794) = ( 11 x 794 ) / 8734
GCD(11, 794) = 8734 / 8734
GCD(11, 794) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 933
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 933) = 933
GCD(1, 933) = ( 1 x 933 ) / 933
GCD(1, 933) = 933 / 933
GCD(1, 933) = 1
GCD of 341, 748, 794, 933 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 341, 748, 794, 933?
GCD of 341, 748, 794, 933 is 1
2. Where do I get the detailed procedure to find GCD of 341, 748, 794, 933?
You can find a detailed procedure to find GCD of 341, 748, 794, 933 on our page.
3. How to find GCD of 341, 748, 794, 933 on a calculator?
You can find the GCD of 341, 748, 794, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.