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, 917, 29, 846 i.e. 1 largest integer that divides all the numbers equally.
GCD of 336, 917, 29, 846 is 1
GCD(336, 917, 29, 846) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 336, 917, 29, 846 is 1
GCD(336, 917, 29, 846) = 1
Given Input numbers are 336, 917, 29, 846
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 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
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
Greatest Common Divisior
We found the divisors of 336, 917, 29, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 917, 29, 846 is 1.
Therefore, GCD of numbers 336, 917, 29, 846 is 1
Given Input Data is 336, 917, 29, 846
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 917 is 7 x 131
Prime Factorization of 29 is 29
Prime Factorization of 846 is 2 x 3 x 3 x 47
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, 917) = 44016
GCD(336, 917) = ( 336 x 917 ) / 44016
GCD(336, 917) = 308112 / 44016
GCD(336, 917) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 29
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 29) = 203
GCD(7, 29) = ( 7 x 29 ) / 203
GCD(7, 29) = 203 / 203
GCD(7, 29) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
GCD of 336, 917, 29, 846 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 336, 917, 29, 846?
GCD of 336, 917, 29, 846 is 1
2. Where do I get the detailed procedure to find GCD of 336, 917, 29, 846?
You can find a detailed procedure to find GCD of 336, 917, 29, 846 on our page.
3. How to find GCD of 336, 917, 29, 846 on a calculator?
You can find the GCD of 336, 917, 29, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.