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 716, 940, 376 i.e. 4 largest integer that divides all the numbers equally.
GCD of 716, 940, 376 is 4
GCD(716, 940, 376) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 940, 376 is 4
GCD(716, 940, 376) = 4
Given Input numbers are 716, 940, 376
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 376
List of positive integer divisors of 376 that divides 376 without a remainder.
1, 2, 4, 8, 47, 94, 188, 376
Greatest Common Divisior
We found the divisors of 716, 940, 376 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 940, 376 is 4.
Therefore, GCD of numbers 716, 940, 376 is 4
Given Input Data is 716, 940, 376
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 376 is 2 x 2 x 2 x 47
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(716, 940) = 168260
GCD(716, 940) = ( 716 x 940 ) / 168260
GCD(716, 940) = 673040 / 168260
GCD(716, 940) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 376
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 376) = 376
GCD(4, 376) = ( 4 x 376 ) / 376
GCD(4, 376) = 1504 / 376
GCD(4, 376) = 4
GCD of 716, 940, 376 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 716, 940, 376?
GCD of 716, 940, 376 is 4
2. Where do I get the detailed procedure to find GCD of 716, 940, 376?
You can find a detailed procedure to find GCD of 716, 940, 376 on our page.
3. How to find GCD of 716, 940, 376 on a calculator?
You can find the GCD of 716, 940, 376 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.