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, 102, 91, 204 i.e. 1 largest integer that divides all the numbers equally.
GCD of 924, 102, 91, 204 is 1
GCD(924, 102, 91, 204) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 102, 91, 204 is 1
GCD(924, 102, 91, 204) = 1
Given Input numbers are 924, 102, 91, 204
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 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Greatest Common Divisior
We found the divisors of 924, 102, 91, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 102, 91, 204 is 1.
Therefore, GCD of numbers 924, 102, 91, 204 is 1
Given Input Data is 924, 102, 91, 204
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 102 is 2 x 3 x 17
Prime Factorization of 91 is 7 x 13
Prime Factorization of 204 is 2 x 2 x 3 x 17
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, 102) = 15708
GCD(924, 102) = ( 924 x 102 ) / 15708
GCD(924, 102) = 94248 / 15708
GCD(924, 102) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 91) = 546
GCD(6, 91) = ( 6 x 91 ) / 546
GCD(6, 91) = 546 / 546
GCD(6, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 204
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 204) = 204
GCD(1, 204) = ( 1 x 204 ) / 204
GCD(1, 204) = 204 / 204
GCD(1, 204) = 1
GCD of 924, 102, 91, 204 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 102, 91, 204?
GCD of 924, 102, 91, 204 is 1
2. Where do I get the detailed procedure to find GCD of 924, 102, 91, 204?
You can find a detailed procedure to find GCD of 924, 102, 91, 204 on our page.
3. How to find GCD of 924, 102, 91, 204 on a calculator?
You can find the GCD of 924, 102, 91, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.