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 43, 399, 341, 947 i.e. 1 largest integer that divides all the numbers equally.
GCD of 43, 399, 341, 947 is 1
GCD(43, 399, 341, 947) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 43, 399, 341, 947 is 1
GCD(43, 399, 341, 947) = 1
Given Input numbers are 43, 399, 341, 947
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Greatest Common Divisior
We found the divisors of 43, 399, 341, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 399, 341, 947 is 1.
Therefore, GCD of numbers 43, 399, 341, 947 is 1
Given Input Data is 43, 399, 341, 947
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 43 is 43
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 341 is 11 x 31
Prime Factorization of 947 is 947
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(43, 399) = 17157
GCD(43, 399) = ( 43 x 399 ) / 17157
GCD(43, 399) = 17157 / 17157
GCD(43, 399) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 341) = 341
GCD(1, 341) = ( 1 x 341 ) / 341
GCD(1, 341) = 341 / 341
GCD(1, 341) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 947
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 947) = 947
GCD(1, 947) = ( 1 x 947 ) / 947
GCD(1, 947) = 947 / 947
GCD(1, 947) = 1
GCD of 43, 399, 341, 947 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 43, 399, 341, 947?
GCD of 43, 399, 341, 947 is 1
2. Where do I get the detailed procedure to find GCD of 43, 399, 341, 947?
You can find a detailed procedure to find GCD of 43, 399, 341, 947 on our page.
3. How to find GCD of 43, 399, 341, 947 on a calculator?
You can find the GCD of 43, 399, 341, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.