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 904, 424, 91, 264 i.e. 1 largest integer that divides all the numbers equally.
GCD of 904, 424, 91, 264 is 1
GCD(904, 424, 91, 264) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 904, 424, 91, 264 is 1
GCD(904, 424, 91, 264) = 1
Given Input numbers are 904, 424, 91, 264
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 904
List of positive integer divisors of 904 that divides 904 without a remainder.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Greatest Common Divisior
We found the divisors of 904, 424, 91, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 424, 91, 264 is 1.
Therefore, GCD of numbers 904, 424, 91, 264 is 1
Given Input Data is 904, 424, 91, 264
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 904 is 2 x 2 x 2 x 113
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 91 is 7 x 13
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
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(904, 424) = 47912
GCD(904, 424) = ( 904 x 424 ) / 47912
GCD(904, 424) = 383296 / 47912
GCD(904, 424) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 91) = 728
GCD(8, 91) = ( 8 x 91 ) / 728
GCD(8, 91) = 728 / 728
GCD(8, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
GCD of 904, 424, 91, 264 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 904, 424, 91, 264?
GCD of 904, 424, 91, 264 is 1
2. Where do I get the detailed procedure to find GCD of 904, 424, 91, 264?
You can find a detailed procedure to find GCD of 904, 424, 91, 264 on our page.
3. How to find GCD of 904, 424, 91, 264 on a calculator?
You can find the GCD of 904, 424, 91, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.