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 896, 820, 908, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 896, 820, 908, 921 is 1
GCD(896, 820, 908, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 896, 820, 908, 921 is 1
GCD(896, 820, 908, 921) = 1
Given Input numbers are 896, 820, 908, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
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 896, 820, 908, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 820, 908, 921 is 1.
Therefore, GCD of numbers 896, 820, 908, 921 is 1
Given Input Data is 896, 820, 908, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 820 is 2 x 2 x 5 x 41
Prime Factorization of 908 is 2 x 2 x 227
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(896, 820) = 183680
GCD(896, 820) = ( 896 x 820 ) / 183680
GCD(896, 820) = 734720 / 183680
GCD(896, 820) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 908) = 908
GCD(4, 908) = ( 4 x 908 ) / 908
GCD(4, 908) = 3632 / 908
GCD(4, 908) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 921) = 3684
GCD(4, 921) = ( 4 x 921 ) / 3684
GCD(4, 921) = 3684 / 3684
GCD(4, 921) = 1
GCD of 896, 820, 908, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 896, 820, 908, 921?
GCD of 896, 820, 908, 921 is 1
2. Where do I get the detailed procedure to find GCD of 896, 820, 908, 921?
You can find a detailed procedure to find GCD of 896, 820, 908, 921 on our page.
3. How to find GCD of 896, 820, 908, 921 on a calculator?
You can find the GCD of 896, 820, 908, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.