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 732, 305, 947, 413 i.e. 1 largest integer that divides all the numbers equally.
GCD of 732, 305, 947, 413 is 1
GCD(732, 305, 947, 413) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 732, 305, 947, 413 is 1
GCD(732, 305, 947, 413) = 1
Given Input numbers are 732, 305, 947, 413
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Divisors of 413
List of positive integer divisors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Greatest Common Divisior
We found the divisors of 732, 305, 947, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 305, 947, 413 is 1.
Therefore, GCD of numbers 732, 305, 947, 413 is 1
Given Input Data is 732, 305, 947, 413
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 305 is 5 x 61
Prime Factorization of 947 is 947
Prime Factorization of 413 is 7 x 59
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(732, 305) = 3660
GCD(732, 305) = ( 732 x 305 ) / 3660
GCD(732, 305) = 223260 / 3660
GCD(732, 305) = 61
Step2:
Here we consider the GCD from the above i.e. 61 as first number and the next as 947
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(61, 947) = 57767
GCD(61, 947) = ( 61 x 947 ) / 57767
GCD(61, 947) = 57767 / 57767
GCD(61, 947) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 413
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 413) = 413
GCD(1, 413) = ( 1 x 413 ) / 413
GCD(1, 413) = 413 / 413
GCD(1, 413) = 1
GCD of 732, 305, 947, 413 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 732, 305, 947, 413?
GCD of 732, 305, 947, 413 is 1
2. Where do I get the detailed procedure to find GCD of 732, 305, 947, 413?
You can find a detailed procedure to find GCD of 732, 305, 947, 413 on our page.
3. How to find GCD of 732, 305, 947, 413 on a calculator?
You can find the GCD of 732, 305, 947, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.