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, 922, 355, 288 i.e. 1 largest integer that divides all the numbers equally.
GCD of 924, 922, 355, 288 is 1
GCD(924, 922, 355, 288) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 922, 355, 288 is 1
GCD(924, 922, 355, 288) = 1
Given Input numbers are 924, 922, 355, 288
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 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Greatest Common Divisior
We found the divisors of 924, 922, 355, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 922, 355, 288 is 1.
Therefore, GCD of numbers 924, 922, 355, 288 is 1
Given Input Data is 924, 922, 355, 288
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 922 is 2 x 461
Prime Factorization of 355 is 5 x 71
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
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, 922) = 425964
GCD(924, 922) = ( 924 x 922 ) / 425964
GCD(924, 922) = 851928 / 425964
GCD(924, 922) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 355) = 710
GCD(2, 355) = ( 2 x 355 ) / 710
GCD(2, 355) = 710 / 710
GCD(2, 355) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
GCD of 924, 922, 355, 288 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 922, 355, 288?
GCD of 924, 922, 355, 288 is 1
2. Where do I get the detailed procedure to find GCD of 924, 922, 355, 288?
You can find a detailed procedure to find GCD of 924, 922, 355, 288 on our page.
3. How to find GCD of 924, 922, 355, 288 on a calculator?
You can find the GCD of 924, 922, 355, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.