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 304, 846, 26, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 304, 846, 26, 359 is 1
GCD(304, 846, 26, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 304, 846, 26, 359 is 1
GCD(304, 846, 26, 359) = 1
Given Input numbers are 304, 846, 26, 359
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 304, 846, 26, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 846, 26, 359 is 1.
Therefore, GCD of numbers 304, 846, 26, 359 is 1
Given Input Data is 304, 846, 26, 359
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 26 is 2 x 13
Prime Factorization of 359 is 359
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(304, 846) = 128592
GCD(304, 846) = ( 304 x 846 ) / 128592
GCD(304, 846) = 257184 / 128592
GCD(304, 846) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 26) = 26
GCD(2, 26) = ( 2 x 26 ) / 26
GCD(2, 26) = 52 / 26
GCD(2, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 359) = 718
GCD(2, 359) = ( 2 x 359 ) / 718
GCD(2, 359) = 718 / 718
GCD(2, 359) = 1
GCD of 304, 846, 26, 359 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 304, 846, 26, 359?
GCD of 304, 846, 26, 359 is 1
2. Where do I get the detailed procedure to find GCD of 304, 846, 26, 359?
You can find a detailed procedure to find GCD of 304, 846, 26, 359 on our page.
3. How to find GCD of 304, 846, 26, 359 on a calculator?
You can find the GCD of 304, 846, 26, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.