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 940, 313, 10 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 313, 10 is 1
GCD(940, 313, 10) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 313, 10 is 1
GCD(940, 313, 10) = 1
Given Input numbers are 940, 313, 10
To find the GCD of numbers using factoring list out all the divisors of each number
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 313
List of positive integer divisors of 313 that divides 313 without a remainder.
1, 313
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Greatest Common Divisior
We found the divisors of 940, 313, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 313, 10 is 1.
Therefore, GCD of numbers 940, 313, 10 is 1
Given Input Data is 940, 313, 10
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 313 is 313
Prime Factorization of 10 is 2 x 5
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(940, 313) = 294220
GCD(940, 313) = ( 940 x 313 ) / 294220
GCD(940, 313) = 294220 / 294220
GCD(940, 313) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
GCD of 940, 313, 10 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 313, 10?
GCD of 940, 313, 10 is 1
2. Where do I get the detailed procedure to find GCD of 940, 313, 10?
You can find a detailed procedure to find GCD of 940, 313, 10 on our page.
3. How to find GCD of 940, 313, 10 on a calculator?
You can find the GCD of 940, 313, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.