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 591, 789, 98, 159 i.e. 1 largest integer that divides all the numbers equally.
GCD of 591, 789, 98, 159 is 1
GCD(591, 789, 98, 159) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 591, 789, 98, 159 is 1
GCD(591, 789, 98, 159) = 1
Given Input numbers are 591, 789, 98, 159
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 159
List of positive integer divisors of 159 that divides 159 without a remainder.
1, 3, 53, 159
Greatest Common Divisior
We found the divisors of 591, 789, 98, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 789, 98, 159 is 1.
Therefore, GCD of numbers 591, 789, 98, 159 is 1
Given Input Data is 591, 789, 98, 159
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 591 is 3 x 197
Prime Factorization of 789 is 3 x 263
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 159 is 3 x 53
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(591, 789) = 155433
GCD(591, 789) = ( 591 x 789 ) / 155433
GCD(591, 789) = 466299 / 155433
GCD(591, 789) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 98) = 294
GCD(3, 98) = ( 3 x 98 ) / 294
GCD(3, 98) = 294 / 294
GCD(3, 98) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 159
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 159) = 159
GCD(1, 159) = ( 1 x 159 ) / 159
GCD(1, 159) = 159 / 159
GCD(1, 159) = 1
GCD of 591, 789, 98, 159 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 591, 789, 98, 159?
GCD of 591, 789, 98, 159 is 1
2. Where do I get the detailed procedure to find GCD of 591, 789, 98, 159?
You can find a detailed procedure to find GCD of 591, 789, 98, 159 on our page.
3. How to find GCD of 591, 789, 98, 159 on a calculator?
You can find the GCD of 591, 789, 98, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.