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, 912, 901, 774 i.e. 1 largest integer that divides all the numbers equally.
GCD of 924, 912, 901, 774 is 1
GCD(924, 912, 901, 774) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 924, 912, 901, 774 is 1
GCD(924, 912, 901, 774) = 1
Given Input numbers are 924, 912, 901, 774
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 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Greatest Common Divisior
We found the divisors of 924, 912, 901, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 912, 901, 774 is 1.
Therefore, GCD of numbers 924, 912, 901, 774 is 1
Given Input Data is 924, 912, 901, 774
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 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 901 is 17 x 53
Prime Factorization of 774 is 2 x 3 x 3 x 43
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, 912) = 70224
GCD(924, 912) = ( 924 x 912 ) / 70224
GCD(924, 912) = 842688 / 70224
GCD(924, 912) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 901
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 901) = 10812
GCD(12, 901) = ( 12 x 901 ) / 10812
GCD(12, 901) = 10812 / 10812
GCD(12, 901) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
GCD(1, 774) = 774 / 774
GCD(1, 774) = 1
GCD of 924, 912, 901, 774 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 924, 912, 901, 774?
GCD of 924, 912, 901, 774 is 1
2. Where do I get the detailed procedure to find GCD of 924, 912, 901, 774?
You can find a detailed procedure to find GCD of 924, 912, 901, 774 on our page.
3. How to find GCD of 924, 912, 901, 774 on a calculator?
You can find the GCD of 924, 912, 901, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.