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, 676, 952, 599 i.e. 1 largest integer that divides all the numbers equally.
GCD of 478, 676, 952, 599 is 1
GCD(478, 676, 952, 599) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 478, 676, 952, 599 is 1
GCD(478, 676, 952, 599) = 1
Given Input numbers are 478, 676, 952, 599
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 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Greatest Common Divisior
We found the divisors of 478, 676, 952, 599 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 676, 952, 599 is 1.
Therefore, GCD of numbers 478, 676, 952, 599 is 1
Given Input Data is 478, 676, 952, 599
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 478 is 2 x 239
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 599 is 599
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, 676) = 161564
GCD(478, 676) = ( 478 x 676 ) / 161564
GCD(478, 676) = 323128 / 161564
GCD(478, 676) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 952) = 952
GCD(2, 952) = ( 2 x 952 ) / 952
GCD(2, 952) = 1904 / 952
GCD(2, 952) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 599
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 599) = 1198
GCD(2, 599) = ( 2 x 599 ) / 1198
GCD(2, 599) = 1198 / 1198
GCD(2, 599) = 1
GCD of 478, 676, 952, 599 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 478, 676, 952, 599?
GCD of 478, 676, 952, 599 is 1
2. Where do I get the detailed procedure to find GCD of 478, 676, 952, 599?
You can find a detailed procedure to find GCD of 478, 676, 952, 599 on our page.
3. How to find GCD of 478, 676, 952, 599 on a calculator?
You can find the GCD of 478, 676, 952, 599 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.