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 943, 353, 14, 741 i.e. 1 largest integer that divides all the numbers equally.
GCD of 943, 353, 14, 741 is 1
GCD(943, 353, 14, 741) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 943, 353, 14, 741 is 1
GCD(943, 353, 14, 741) = 1
Given Input numbers are 943, 353, 14, 741
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Greatest Common Divisior
We found the divisors of 943, 353, 14, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 943, 353, 14, 741 is 1.
Therefore, GCD of numbers 943, 353, 14, 741 is 1
Given Input Data is 943, 353, 14, 741
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 943 is 23 x 41
Prime Factorization of 353 is 353
Prime Factorization of 14 is 2 x 7
Prime Factorization of 741 is 3 x 13 x 19
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(943, 353) = 332879
GCD(943, 353) = ( 943 x 353 ) / 332879
GCD(943, 353) = 332879 / 332879
GCD(943, 353) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
GCD(1, 741) = 741 / 741
GCD(1, 741) = 1
GCD of 943, 353, 14, 741 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 943, 353, 14, 741?
GCD of 943, 353, 14, 741 is 1
2. Where do I get the detailed procedure to find GCD of 943, 353, 14, 741?
You can find a detailed procedure to find GCD of 943, 353, 14, 741 on our page.
3. How to find GCD of 943, 353, 14, 741 on a calculator?
You can find the GCD of 943, 353, 14, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.