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 598, 481, 54, 851 i.e. 1 largest integer that divides all the numbers equally.
GCD of 598, 481, 54, 851 is 1
GCD(598, 481, 54, 851) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 598, 481, 54, 851 is 1
GCD(598, 481, 54, 851) = 1
Given Input numbers are 598, 481, 54, 851
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Divisors of 851
List of positive integer divisors of 851 that divides 851 without a remainder.
1, 23, 37, 851
Greatest Common Divisior
We found the divisors of 598, 481, 54, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 481, 54, 851 is 1.
Therefore, GCD of numbers 598, 481, 54, 851 is 1
Given Input Data is 598, 481, 54, 851
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 481 is 13 x 37
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 851 is 23 x 37
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(598, 481) = 22126
GCD(598, 481) = ( 598 x 481 ) / 22126
GCD(598, 481) = 287638 / 22126
GCD(598, 481) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 54) = 702
GCD(13, 54) = ( 13 x 54 ) / 702
GCD(13, 54) = 702 / 702
GCD(13, 54) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 851
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 851) = 851
GCD(1, 851) = ( 1 x 851 ) / 851
GCD(1, 851) = 851 / 851
GCD(1, 851) = 1
GCD of 598, 481, 54, 851 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 598, 481, 54, 851?
GCD of 598, 481, 54, 851 is 1
2. Where do I get the detailed procedure to find GCD of 598, 481, 54, 851?
You can find a detailed procedure to find GCD of 598, 481, 54, 851 on our page.
3. How to find GCD of 598, 481, 54, 851 on a calculator?
You can find the GCD of 598, 481, 54, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.