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 832, 307, 216, 352 i.e. 1 largest integer that divides all the numbers equally.
GCD of 832, 307, 216, 352 is 1
GCD(832, 307, 216, 352) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 832, 307, 216, 352 is 1
GCD(832, 307, 216, 352) = 1
Given Input numbers are 832, 307, 216, 352
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Greatest Common Divisior
We found the divisors of 832, 307, 216, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 307, 216, 352 is 1.
Therefore, GCD of numbers 832, 307, 216, 352 is 1
Given Input Data is 832, 307, 216, 352
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 307 is 307
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
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(832, 307) = 255424
GCD(832, 307) = ( 832 x 307 ) / 255424
GCD(832, 307) = 255424 / 255424
GCD(832, 307) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 216) = 216
GCD(1, 216) = ( 1 x 216 ) / 216
GCD(1, 216) = 216 / 216
GCD(1, 216) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
GCD(1, 352) = 352 / 352
GCD(1, 352) = 1
GCD of 832, 307, 216, 352 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 832, 307, 216, 352?
GCD of 832, 307, 216, 352 is 1
2. Where do I get the detailed procedure to find GCD of 832, 307, 216, 352?
You can find a detailed procedure to find GCD of 832, 307, 216, 352 on our page.
3. How to find GCD of 832, 307, 216, 352 on a calculator?
You can find the GCD of 832, 307, 216, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.