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 21, 625, 897, 881 i.e. 1 largest integer that divides all the numbers equally.
GCD of 21, 625, 897, 881 is 1
GCD(21, 625, 897, 881) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 21, 625, 897, 881 is 1
GCD(21, 625, 897, 881) = 1
Given Input numbers are 21, 625, 897, 881
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 897
List of positive integer divisors of 897 that divides 897 without a remainder.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 881
List of positive integer divisors of 881 that divides 881 without a remainder.
1, 881
Greatest Common Divisior
We found the divisors of 21, 625, 897, 881 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 625, 897, 881 is 1.
Therefore, GCD of numbers 21, 625, 897, 881 is 1
Given Input Data is 21, 625, 897, 881
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 21 is 3 x 7
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 897 is 3 x 13 x 23
Prime Factorization of 881 is 881
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(21, 625) = 13125
GCD(21, 625) = ( 21 x 625 ) / 13125
GCD(21, 625) = 13125 / 13125
GCD(21, 625) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 897
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 897) = 897
GCD(1, 897) = ( 1 x 897 ) / 897
GCD(1, 897) = 897 / 897
GCD(1, 897) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 881
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 881) = 881
GCD(1, 881) = ( 1 x 881 ) / 881
GCD(1, 881) = 881 / 881
GCD(1, 881) = 1
GCD of 21, 625, 897, 881 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 21, 625, 897, 881?
GCD of 21, 625, 897, 881 is 1
2. Where do I get the detailed procedure to find GCD of 21, 625, 897, 881?
You can find a detailed procedure to find GCD of 21, 625, 897, 881 on our page.
3. How to find GCD of 21, 625, 897, 881 on a calculator?
You can find the GCD of 21, 625, 897, 881 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.