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, 746, 883, 312 i.e. 1 largest integer that divides all the numbers equally.
GCD of 478, 746, 883, 312 is 1
GCD(478, 746, 883, 312) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 478, 746, 883, 312 is 1
GCD(478, 746, 883, 312) = 1
Given Input numbers are 478, 746, 883, 312
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 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Greatest Common Divisior
We found the divisors of 478, 746, 883, 312 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 746, 883, 312 is 1.
Therefore, GCD of numbers 478, 746, 883, 312 is 1
Given Input Data is 478, 746, 883, 312
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 478 is 2 x 239
Prime Factorization of 746 is 2 x 373
Prime Factorization of 883 is 883
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
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, 746) = 178294
GCD(478, 746) = ( 478 x 746 ) / 178294
GCD(478, 746) = 356588 / 178294
GCD(478, 746) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 883) = 1766
GCD(2, 883) = ( 2 x 883 ) / 1766
GCD(2, 883) = 1766 / 1766
GCD(2, 883) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 312
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 312) = 312
GCD(1, 312) = ( 1 x 312 ) / 312
GCD(1, 312) = 312 / 312
GCD(1, 312) = 1
GCD of 478, 746, 883, 312 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 478, 746, 883, 312?
GCD of 478, 746, 883, 312 is 1
2. Where do I get the detailed procedure to find GCD of 478, 746, 883, 312?
You can find a detailed procedure to find GCD of 478, 746, 883, 312 on our page.
3. How to find GCD of 478, 746, 883, 312 on a calculator?
You can find the GCD of 478, 746, 883, 312 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.