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 423, 497, 445, 725 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 497, 445, 725 is 1
GCD(423, 497, 445, 725) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 497, 445, 725 is 1
GCD(423, 497, 445, 725) = 1
Given Input numbers are 423, 497, 445, 725
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 497
List of positive integer divisors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Greatest Common Divisior
We found the divisors of 423, 497, 445, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 497, 445, 725 is 1.
Therefore, GCD of numbers 423, 497, 445, 725 is 1
Given Input Data is 423, 497, 445, 725
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 497 is 7 x 71
Prime Factorization of 445 is 5 x 89
Prime Factorization of 725 is 5 x 5 x 29
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(423, 497) = 210231
GCD(423, 497) = ( 423 x 497 ) / 210231
GCD(423, 497) = 210231 / 210231
GCD(423, 497) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 445
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 445) = 445
GCD(1, 445) = ( 1 x 445 ) / 445
GCD(1, 445) = 445 / 445
GCD(1, 445) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 725
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 725) = 725
GCD(1, 725) = ( 1 x 725 ) / 725
GCD(1, 725) = 725 / 725
GCD(1, 725) = 1
GCD of 423, 497, 445, 725 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 497, 445, 725?
GCD of 423, 497, 445, 725 is 1
2. Where do I get the detailed procedure to find GCD of 423, 497, 445, 725?
You can find a detailed procedure to find GCD of 423, 497, 445, 725 on our page.
3. How to find GCD of 423, 497, 445, 725 on a calculator?
You can find the GCD of 423, 497, 445, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.