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 680, 940, 912 i.e. 4 largest integer that divides all the numbers equally.
GCD of 680, 940, 912 is 4
GCD(680, 940, 912) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 940, 912 is 4
GCD(680, 940, 912) = 4
Given Input numbers are 680, 940, 912
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
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 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 680, 940, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 940, 912 is 4.
Therefore, GCD of numbers 680, 940, 912 is 4
Given Input Data is 680, 940, 912
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
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(680, 940) = 31960
GCD(680, 940) = ( 680 x 940 ) / 31960
GCD(680, 940) = 639200 / 31960
GCD(680, 940) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 912) = 4560
GCD(20, 912) = ( 20 x 912 ) / 4560
GCD(20, 912) = 18240 / 4560
GCD(20, 912) = 4
GCD of 680, 940, 912 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 940, 912?
GCD of 680, 940, 912 is 4
2. Where do I get the detailed procedure to find GCD of 680, 940, 912?
You can find a detailed procedure to find GCD of 680, 940, 912 on our page.
3. How to find GCD of 680, 940, 912 on a calculator?
You can find the GCD of 680, 940, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.