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 924, 529, 32, 343 i.e. 1 largest integer that divides all the numbers equally.
GCD of 924, 529, 32, 343 is 1
GCD(924, 529, 32, 343) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 529, 32, 343 is 1
GCD(924, 529, 32, 343) = 1
Given Input numbers are 924, 529, 32, 343
To find the GCD of numbers using factoring list out all the divisors of each number
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 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Greatest Common Divisior
We found the divisors of 924, 529, 32, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 529, 32, 343 is 1.
Therefore, GCD of numbers 924, 529, 32, 343 is 1
Given Input Data is 924, 529, 32, 343
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 529 is 23 x 23
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 343 is 7 x 7 x 7
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(924, 529) = 488796
GCD(924, 529) = ( 924 x 529 ) / 488796
GCD(924, 529) = 488796 / 488796
GCD(924, 529) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
GCD(1, 343) = 343 / 343
GCD(1, 343) = 1
GCD of 924, 529, 32, 343 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 529, 32, 343?
GCD of 924, 529, 32, 343 is 1
2. Where do I get the detailed procedure to find GCD of 924, 529, 32, 343?
You can find a detailed procedure to find GCD of 924, 529, 32, 343 on our page.
3. How to find GCD of 924, 529, 32, 343 on a calculator?
You can find the GCD of 924, 529, 32, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.