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 298, 412, 48, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 298, 412, 48, 789 is 1
GCD(298, 412, 48, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 298, 412, 48, 789 is 1
GCD(298, 412, 48, 789) = 1
Given Input numbers are 298, 412, 48, 789
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 298
List of positive integer divisors of 298 that divides 298 without a remainder.
1, 2, 149, 298
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 298, 412, 48, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 412, 48, 789 is 1.
Therefore, GCD of numbers 298, 412, 48, 789 is 1
Given Input Data is 298, 412, 48, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 298 is 2 x 149
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 789 is 3 x 263
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(298, 412) = 61388
GCD(298, 412) = ( 298 x 412 ) / 61388
GCD(298, 412) = 122776 / 61388
GCD(298, 412) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
GCD(2, 48) = 96 / 48
GCD(2, 48) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 789) = 1578
GCD(2, 789) = ( 2 x 789 ) / 1578
GCD(2, 789) = 1578 / 1578
GCD(2, 789) = 1
GCD of 298, 412, 48, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 298, 412, 48, 789?
GCD of 298, 412, 48, 789 is 1
2. Where do I get the detailed procedure to find GCD of 298, 412, 48, 789?
You can find a detailed procedure to find GCD of 298, 412, 48, 789 on our page.
3. How to find GCD of 298, 412, 48, 789 on a calculator?
You can find the GCD of 298, 412, 48, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.