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 238, 798, 99, 739 i.e. 1 largest integer that divides all the numbers equally.
GCD of 238, 798, 99, 739 is 1
GCD(238, 798, 99, 739) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 238, 798, 99, 739 is 1
GCD(238, 798, 99, 739) = 1
Given Input numbers are 238, 798, 99, 739
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
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 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 739
List of positive integer divisors of 739 that divides 739 without a remainder.
1, 739
Greatest Common Divisior
We found the divisors of 238, 798, 99, 739 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 798, 99, 739 is 1.
Therefore, GCD of numbers 238, 798, 99, 739 is 1
Given Input Data is 238, 798, 99, 739
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 739 is 739
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(238, 798) = 13566
GCD(238, 798) = ( 238 x 798 ) / 13566
GCD(238, 798) = 189924 / 13566
GCD(238, 798) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 99) = 1386
GCD(14, 99) = ( 14 x 99 ) / 1386
GCD(14, 99) = 1386 / 1386
GCD(14, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 739
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 739) = 739
GCD(1, 739) = ( 1 x 739 ) / 739
GCD(1, 739) = 739 / 739
GCD(1, 739) = 1
GCD of 238, 798, 99, 739 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 238, 798, 99, 739?
GCD of 238, 798, 99, 739 is 1
2. Where do I get the detailed procedure to find GCD of 238, 798, 99, 739?
You can find a detailed procedure to find GCD of 238, 798, 99, 739 on our page.
3. How to find GCD of 238, 798, 99, 739 on a calculator?
You can find the GCD of 238, 798, 99, 739 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.