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 352, 924, 82, 433 i.e. 1 largest integer that divides all the numbers equally.
GCD of 352, 924, 82, 433 is 1
GCD(352, 924, 82, 433) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 352, 924, 82, 433 is 1
GCD(352, 924, 82, 433) = 1
Given Input numbers are 352, 924, 82, 433
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 433
List of positive integer divisors of 433 that divides 433 without a remainder.
1, 433
Greatest Common Divisior
We found the divisors of 352, 924, 82, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 352, 924, 82, 433 is 1.
Therefore, GCD of numbers 352, 924, 82, 433 is 1
Given Input Data is 352, 924, 82, 433
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 82 is 2 x 41
Prime Factorization of 433 is 433
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(352, 924) = 7392
GCD(352, 924) = ( 352 x 924 ) / 7392
GCD(352, 924) = 325248 / 7392
GCD(352, 924) = 44
Step2:
Here we consider the GCD from the above i.e. 44 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(44, 82) = 1804
GCD(44, 82) = ( 44 x 82 ) / 1804
GCD(44, 82) = 3608 / 1804
GCD(44, 82) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 433
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 433) = 866
GCD(2, 433) = ( 2 x 433 ) / 866
GCD(2, 433) = 866 / 866
GCD(2, 433) = 1
GCD of 352, 924, 82, 433 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 352, 924, 82, 433?
GCD of 352, 924, 82, 433 is 1
2. Where do I get the detailed procedure to find GCD of 352, 924, 82, 433?
You can find a detailed procedure to find GCD of 352, 924, 82, 433 on our page.
3. How to find GCD of 352, 924, 82, 433 on a calculator?
You can find the GCD of 352, 924, 82, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.