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, 498, 347, 926 i.e. 1 largest integer that divides all the numbers equally.
GCD of 798, 498, 347, 926 is 1
GCD(798, 498, 347, 926) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 798, 498, 347, 926 is 1
GCD(798, 498, 347, 926) = 1
Given Input numbers are 798, 498, 347, 926
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 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 347
List of positive integer divisors of 347 that divides 347 without a remainder.
1, 347
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Greatest Common Divisior
We found the divisors of 798, 498, 347, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 498, 347, 926 is 1.
Therefore, GCD of numbers 798, 498, 347, 926 is 1
Given Input Data is 798, 498, 347, 926
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 498 is 2 x 3 x 83
Prime Factorization of 347 is 347
Prime Factorization of 926 is 2 x 463
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, 498) = 66234
GCD(798, 498) = ( 798 x 498 ) / 66234
GCD(798, 498) = 397404 / 66234
GCD(798, 498) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 347
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 347) = 2082
GCD(6, 347) = ( 6 x 347 ) / 2082
GCD(6, 347) = 2082 / 2082
GCD(6, 347) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 1
GCD of 798, 498, 347, 926 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 798, 498, 347, 926?
GCD of 798, 498, 347, 926 is 1
2. Where do I get the detailed procedure to find GCD of 798, 498, 347, 926?
You can find a detailed procedure to find GCD of 798, 498, 347, 926 on our page.
3. How to find GCD of 798, 498, 347, 926 on a calculator?
You can find the GCD of 798, 498, 347, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.