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 590, 748, 298, 419 i.e. 1 largest integer that divides all the numbers equally.
GCD of 590, 748, 298, 419 is 1
GCD(590, 748, 298, 419) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 590, 748, 298, 419 is 1
GCD(590, 748, 298, 419) = 1
Given Input numbers are 590, 748, 298, 419
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 590
List of positive integer divisors of 590 that divides 590 without a remainder.
1, 2, 5, 10, 59, 118, 295, 590
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
Greatest Common Divisior
We found the divisors of 590, 748, 298, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 748, 298, 419 is 1.
Therefore, GCD of numbers 590, 748, 298, 419 is 1
Given Input Data is 590, 748, 298, 419
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 590 is 2 x 5 x 59
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 298 is 2 x 149
Prime Factorization of 419 is 419
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(590, 748) = 220660
GCD(590, 748) = ( 590 x 748 ) / 220660
GCD(590, 748) = 441320 / 220660
GCD(590, 748) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 298
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 298) = 298
GCD(2, 298) = ( 2 x 298 ) / 298
GCD(2, 298) = 596 / 298
GCD(2, 298) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 419
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 419) = 838
GCD(2, 419) = ( 2 x 419 ) / 838
GCD(2, 419) = 838 / 838
GCD(2, 419) = 1
GCD of 590, 748, 298, 419 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 590, 748, 298, 419?
GCD of 590, 748, 298, 419 is 1
2. Where do I get the detailed procedure to find GCD of 590, 748, 298, 419?
You can find a detailed procedure to find GCD of 590, 748, 298, 419 on our page.
3. How to find GCD of 590, 748, 298, 419 on a calculator?
You can find the GCD of 590, 748, 298, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.