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 125, 423, 351, 585 i.e. 1 largest integer that divides all the numbers equally.
GCD of 125, 423, 351, 585 is 1
GCD(125, 423, 351, 585) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 125, 423, 351, 585 is 1
GCD(125, 423, 351, 585) = 1
Given Input numbers are 125, 423, 351, 585
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 585
List of positive integer divisors of 585 that divides 585 without a remainder.
1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
Greatest Common Divisior
We found the divisors of 125, 423, 351, 585 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 423, 351, 585 is 1.
Therefore, GCD of numbers 125, 423, 351, 585 is 1
Given Input Data is 125, 423, 351, 585
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 585 is 3 x 3 x 5 x 13
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(125, 423) = 52875
GCD(125, 423) = ( 125 x 423 ) / 52875
GCD(125, 423) = 52875 / 52875
GCD(125, 423) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
GCD(1, 351) = 351 / 351
GCD(1, 351) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 585
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 585) = 585
GCD(1, 585) = ( 1 x 585 ) / 585
GCD(1, 585) = 585 / 585
GCD(1, 585) = 1
GCD of 125, 423, 351, 585 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 125, 423, 351, 585?
GCD of 125, 423, 351, 585 is 1
2. Where do I get the detailed procedure to find GCD of 125, 423, 351, 585?
You can find a detailed procedure to find GCD of 125, 423, 351, 585 on our page.
3. How to find GCD of 125, 423, 351, 585 on a calculator?
You can find the GCD of 125, 423, 351, 585 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.