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 941, 742, 173, 829 i.e. 1 largest integer that divides all the numbers equally.
GCD of 941, 742, 173, 829 is 1
GCD(941, 742, 173, 829) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 941, 742, 173, 829 is 1
GCD(941, 742, 173, 829) = 1
Given Input numbers are 941, 742, 173, 829
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 941
List of positive integer divisors of 941 that divides 941 without a remainder.
1, 941
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Greatest Common Divisior
We found the divisors of 941, 742, 173, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 941, 742, 173, 829 is 1.
Therefore, GCD of numbers 941, 742, 173, 829 is 1
Given Input Data is 941, 742, 173, 829
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 941 is 941
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 173 is 173
Prime Factorization of 829 is 829
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(941, 742) = 698222
GCD(941, 742) = ( 941 x 742 ) / 698222
GCD(941, 742) = 698222 / 698222
GCD(941, 742) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 173
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 173) = 173
GCD(1, 173) = ( 1 x 173 ) / 173
GCD(1, 173) = 173 / 173
GCD(1, 173) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 829
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 829) = 829
GCD(1, 829) = ( 1 x 829 ) / 829
GCD(1, 829) = 829 / 829
GCD(1, 829) = 1
GCD of 941, 742, 173, 829 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 941, 742, 173, 829?
GCD of 941, 742, 173, 829 is 1
2. Where do I get the detailed procedure to find GCD of 941, 742, 173, 829?
You can find a detailed procedure to find GCD of 941, 742, 173, 829 on our page.
3. How to find GCD of 941, 742, 173, 829 on a calculator?
You can find the GCD of 941, 742, 173, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.