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 798, 691, 89, 258 i.e. 1 largest integer that divides all the numbers equally.
GCD of 798, 691, 89, 258 is 1
GCD(798, 691, 89, 258) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 798, 691, 89, 258 is 1
GCD(798, 691, 89, 258) = 1
Given Input numbers are 798, 691, 89, 258
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 258
List of positive integer divisors of 258 that divides 258 without a remainder.
1, 2, 3, 6, 43, 86, 129, 258
Greatest Common Divisior
We found the divisors of 798, 691, 89, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 691, 89, 258 is 1.
Therefore, GCD of numbers 798, 691, 89, 258 is 1
Given Input Data is 798, 691, 89, 258
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 691 is 691
Prime Factorization of 89 is 89
Prime Factorization of 258 is 2 x 3 x 43
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(798, 691) = 551418
GCD(798, 691) = ( 798 x 691 ) / 551418
GCD(798, 691) = 551418 / 551418
GCD(798, 691) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 89) = 89
GCD(1, 89) = ( 1 x 89 ) / 89
GCD(1, 89) = 89 / 89
GCD(1, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 258
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 258) = 258
GCD(1, 258) = ( 1 x 258 ) / 258
GCD(1, 258) = 258 / 258
GCD(1, 258) = 1
GCD of 798, 691, 89, 258 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 798, 691, 89, 258?
GCD of 798, 691, 89, 258 is 1
2. Where do I get the detailed procedure to find GCD of 798, 691, 89, 258?
You can find a detailed procedure to find GCD of 798, 691, 89, 258 on our page.
3. How to find GCD of 798, 691, 89, 258 on a calculator?
You can find the GCD of 798, 691, 89, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.