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 946, 190, 10, 317 i.e. 1 largest integer that divides all the numbers equally.
GCD of 946, 190, 10, 317 is 1
GCD(946, 190, 10, 317) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 946, 190, 10, 317 is 1
GCD(946, 190, 10, 317) = 1
Given Input numbers are 946, 190, 10, 317
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Greatest Common Divisior
We found the divisors of 946, 190, 10, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 190, 10, 317 is 1.
Therefore, GCD of numbers 946, 190, 10, 317 is 1
Given Input Data is 946, 190, 10, 317
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 10 is 2 x 5
Prime Factorization of 317 is 317
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(946, 190) = 89870
GCD(946, 190) = ( 946 x 190 ) / 89870
GCD(946, 190) = 179740 / 89870
GCD(946, 190) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 10) = 10
GCD(2, 10) = ( 2 x 10 ) / 10
GCD(2, 10) = 20 / 10
GCD(2, 10) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 317) = 634
GCD(2, 317) = ( 2 x 317 ) / 634
GCD(2, 317) = 634 / 634
GCD(2, 317) = 1
GCD of 946, 190, 10, 317 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 946, 190, 10, 317?
GCD of 946, 190, 10, 317 is 1
2. Where do I get the detailed procedure to find GCD of 946, 190, 10, 317?
You can find a detailed procedure to find GCD of 946, 190, 10, 317 on our page.
3. How to find GCD of 946, 190, 10, 317 on a calculator?
You can find the GCD of 946, 190, 10, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.