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 676, 882, 24, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 882, 24, 921 is 1
GCD(676, 882, 24, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 882, 24, 921 is 1
GCD(676, 882, 24, 921) = 1
Given Input numbers are 676, 882, 24, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 676, 882, 24, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 882, 24, 921 is 1.
Therefore, GCD of numbers 676, 882, 24, 921 is 1
Given Input Data is 676, 882, 24, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 921 is 3 x 307
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(676, 882) = 298116
GCD(676, 882) = ( 676 x 882 ) / 298116
GCD(676, 882) = 596232 / 298116
GCD(676, 882) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 24) = 24
GCD(2, 24) = ( 2 x 24 ) / 24
GCD(2, 24) = 48 / 24
GCD(2, 24) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 921) = 1842
GCD(2, 921) = ( 2 x 921 ) / 1842
GCD(2, 921) = 1842 / 1842
GCD(2, 921) = 1
GCD of 676, 882, 24, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 882, 24, 921?
GCD of 676, 882, 24, 921 is 1
2. Where do I get the detailed procedure to find GCD of 676, 882, 24, 921?
You can find a detailed procedure to find GCD of 676, 882, 24, 921 on our page.
3. How to find GCD of 676, 882, 24, 921 on a calculator?
You can find the GCD of 676, 882, 24, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.