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, 330, 942, 779 i.e. 1 largest integer that divides all the numbers equally.
GCD of 71, 330, 942, 779 is 1
GCD(71, 330, 942, 779) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 71, 330, 942, 779 is 1
GCD(71, 330, 942, 779) = 1
Given Input numbers are 71, 330, 942, 779
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 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 779
List of positive integer divisors of 779 that divides 779 without a remainder.
1, 19, 41, 779
Greatest Common Divisior
We found the divisors of 71, 330, 942, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 330, 942, 779 is 1.
Therefore, GCD of numbers 71, 330, 942, 779 is 1
Given Input Data is 71, 330, 942, 779
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 71 is 71
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 779 is 19 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, 330) = 23430
GCD(71, 330) = ( 71 x 330 ) / 23430
GCD(71, 330) = 23430 / 23430
GCD(71, 330) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 942) = 942
GCD(1, 942) = ( 1 x 942 ) / 942
GCD(1, 942) = 942 / 942
GCD(1, 942) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 779
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 779) = 779
GCD(1, 779) = ( 1 x 779 ) / 779
GCD(1, 779) = 779 / 779
GCD(1, 779) = 1
GCD of 71, 330, 942, 779 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 71, 330, 942, 779?
GCD of 71, 330, 942, 779 is 1
2. Where do I get the detailed procedure to find GCD of 71, 330, 942, 779?
You can find a detailed procedure to find GCD of 71, 330, 942, 779 on our page.
3. How to find GCD of 71, 330, 942, 779 on a calculator?
You can find the GCD of 71, 330, 942, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.