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 71, 418, 766, 328 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 418, 766, 328 is 1
GCD(71, 418, 766, 328) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 418, 766, 328 is 1
GCD(71, 418, 766, 328) = 1
Given Input numbers are 71, 418, 766, 328
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 418
List of positive integer divisors of 418 that divides 418 without a remainder.
1, 2, 11, 19, 22, 38, 209, 418
Divisors of 766
List of positive integer divisors of 766 that divides 766 without a remainder.
1, 2, 383, 766
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Greatest Common Divisior
We found the divisors of 71, 418, 766, 328 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 418, 766, 328 is 1.
Therefore, GCD of numbers 71, 418, 766, 328 is 1
Given Input Data is 71, 418, 766, 328
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 418 is 2 x 11 x 19
Prime Factorization of 766 is 2 x 383
Prime Factorization of 328 is 2 x 2 x 2 x 41
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(71, 418) = 29678
GCD(71, 418) = ( 71 x 418 ) / 29678
GCD(71, 418) = 29678 / 29678
GCD(71, 418) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 766
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 766) = 766
GCD(1, 766) = ( 1 x 766 ) / 766
GCD(1, 766) = 766 / 766
GCD(1, 766) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 328
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 328) = 328
GCD(1, 328) = ( 1 x 328 ) / 328
GCD(1, 328) = 328 / 328
GCD(1, 328) = 1
GCD of 71, 418, 766, 328 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 418, 766, 328?
GCD of 71, 418, 766, 328 is 1
2. Where do I get the detailed procedure to find GCD of 71, 418, 766, 328?
You can find a detailed procedure to find GCD of 71, 418, 766, 328 on our page.
3. How to find GCD of 71, 418, 766, 328 on a calculator?
You can find the GCD of 71, 418, 766, 328 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.