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 336, 428, 29, 186 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 428, 29, 186 is 1
GCD(336, 428, 29, 186) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 428, 29, 186 is 1
GCD(336, 428, 29, 186) = 1
Given Input numbers are 336, 428, 29, 186
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Greatest Common Divisior
We found the divisors of 336, 428, 29, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 428, 29, 186 is 1.
Therefore, GCD of numbers 336, 428, 29, 186 is 1
Given Input Data is 336, 428, 29, 186
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 29 is 29
Prime Factorization of 186 is 2 x 3 x 31
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(336, 428) = 35952
GCD(336, 428) = ( 336 x 428 ) / 35952
GCD(336, 428) = 143808 / 35952
GCD(336, 428) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 29) = 116
GCD(4, 29) = ( 4 x 29 ) / 116
GCD(4, 29) = 116 / 116
GCD(4, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 186
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 186) = 186
GCD(1, 186) = ( 1 x 186 ) / 186
GCD(1, 186) = 186 / 186
GCD(1, 186) = 1
GCD of 336, 428, 29, 186 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 428, 29, 186?
GCD of 336, 428, 29, 186 is 1
2. Where do I get the detailed procedure to find GCD of 336, 428, 29, 186?
You can find a detailed procedure to find GCD of 336, 428, 29, 186 on our page.
3. How to find GCD of 336, 428, 29, 186 on a calculator?
You can find the GCD of 336, 428, 29, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.