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 478, 940, 317, 761 i.e. 1 largest integer that divides all the numbers equally.
GCD of 478, 940, 317, 761 is 1
GCD(478, 940, 317, 761) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 478, 940, 317, 761 is 1
GCD(478, 940, 317, 761) = 1
Given Input numbers are 478, 940, 317, 761
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 478
List of positive integer divisors of 478 that divides 478 without a remainder.
1, 2, 239, 478
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 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Greatest Common Divisior
We found the divisors of 478, 940, 317, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 940, 317, 761 is 1.
Therefore, GCD of numbers 478, 940, 317, 761 is 1
Given Input Data is 478, 940, 317, 761
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 478 is 2 x 239
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 317 is 317
Prime Factorization of 761 is 761
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(478, 940) = 224660
GCD(478, 940) = ( 478 x 940 ) / 224660
GCD(478, 940) = 449320 / 224660
GCD(478, 940) = 2
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 761
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 761) = 761
GCD(1, 761) = ( 1 x 761 ) / 761
GCD(1, 761) = 761 / 761
GCD(1, 761) = 1
GCD of 478, 940, 317, 761 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 478, 940, 317, 761?
GCD of 478, 940, 317, 761 is 1
2. Where do I get the detailed procedure to find GCD of 478, 940, 317, 761?
You can find a detailed procedure to find GCD of 478, 940, 317, 761 on our page.
3. How to find GCD of 478, 940, 317, 761 on a calculator?
You can find the GCD of 478, 940, 317, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.