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 758, 298, 47, 904 i.e. 1 largest integer that divides all the numbers equally.
GCD of 758, 298, 47, 904 is 1
GCD(758, 298, 47, 904) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 758, 298, 47, 904 is 1
GCD(758, 298, 47, 904) = 1
Given Input numbers are 758, 298, 47, 904
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 47
List of positive integer divisors of 47 that divides 47 without a remainder.
1, 47
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Greatest Common Divisior
We found the divisors of 758, 298, 47, 904 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 298, 47, 904 is 1.
Therefore, GCD of numbers 758, 298, 47, 904 is 1
Given Input Data is 758, 298, 47, 904
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 758 is 2 x 379
Prime Factorization of 298 is 2 x 149
Prime Factorization of 47 is 47
Prime Factorization of 904 is 2 x 2 x 2 x 113
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(758, 298) = 112942
GCD(758, 298) = ( 758 x 298 ) / 112942
GCD(758, 298) = 225884 / 112942
GCD(758, 298) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 47
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 47) = 94
GCD(2, 47) = ( 2 x 47 ) / 94
GCD(2, 47) = 94 / 94
GCD(2, 47) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 904
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 904) = 904
GCD(1, 904) = ( 1 x 904 ) / 904
GCD(1, 904) = 904 / 904
GCD(1, 904) = 1
GCD of 758, 298, 47, 904 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 758, 298, 47, 904?
GCD of 758, 298, 47, 904 is 1
2. Where do I get the detailed procedure to find GCD of 758, 298, 47, 904?
You can find a detailed procedure to find GCD of 758, 298, 47, 904 on our page.
3. How to find GCD of 758, 298, 47, 904 on a calculator?
You can find the GCD of 758, 298, 47, 904 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.