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 421, 973, 25 i.e. 1 largest integer that divides all the numbers equally.
GCD of 421, 973, 25 is 1
GCD(421, 973, 25) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 421, 973, 25 is 1
GCD(421, 973, 25) = 1
Given Input numbers are 421, 973, 25
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 421
List of positive integer divisors of 421 that divides 421 without a remainder.
1, 421
Divisors of 973
List of positive integer divisors of 973 that divides 973 without a remainder.
1, 7, 139, 973
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Greatest Common Divisior
We found the divisors of 421, 973, 25 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 973, 25 is 1.
Therefore, GCD of numbers 421, 973, 25 is 1
Given Input Data is 421, 973, 25
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 421 is 421
Prime Factorization of 973 is 7 x 139
Prime Factorization of 25 is 5 x 5
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(421, 973) = 409633
GCD(421, 973) = ( 421 x 973 ) / 409633
GCD(421, 973) = 409633 / 409633
GCD(421, 973) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
GCD of 421, 973, 25 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 421, 973, 25?
GCD of 421, 973, 25 is 1
2. Where do I get the detailed procedure to find GCD of 421, 973, 25?
You can find a detailed procedure to find GCD of 421, 973, 25 on our page.
3. How to find GCD of 421, 973, 25 on a calculator?
You can find the GCD of 421, 973, 25 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.