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 926, 185, 342, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 926, 185, 342, 684 is 1
GCD(926, 185, 342, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 926, 185, 342, 684 is 1
GCD(926, 185, 342, 684) = 1
Given Input numbers are 926, 185, 342, 684
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 185
List of positive integer divisors of 185 that divides 185 without a remainder.
1, 5, 37, 185
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Greatest Common Divisior
We found the divisors of 926, 185, 342, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 926, 185, 342, 684 is 1.
Therefore, GCD of numbers 926, 185, 342, 684 is 1
Given Input Data is 926, 185, 342, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 926 is 2 x 463
Prime Factorization of 185 is 5 x 37
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19
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(926, 185) = 171310
GCD(926, 185) = ( 926 x 185 ) / 171310
GCD(926, 185) = 171310 / 171310
GCD(926, 185) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
GCD(1, 342) = 342 / 342
GCD(1, 342) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
GCD of 926, 185, 342, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 926, 185, 342, 684?
GCD of 926, 185, 342, 684 is 1
2. Where do I get the detailed procedure to find GCD of 926, 185, 342, 684?
You can find a detailed procedure to find GCD of 926, 185, 342, 684 on our page.
3. How to find GCD of 926, 185, 342, 684 on a calculator?
You can find the GCD of 926, 185, 342, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.