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 323, 625, 749, 210 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 625, 749, 210 is 1
GCD(323, 625, 749, 210) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 625, 749, 210 is 1
GCD(323, 625, 749, 210) = 1
Given Input numbers are 323, 625, 749, 210
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Greatest Common Divisior
We found the divisors of 323, 625, 749, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 625, 749, 210 is 1.
Therefore, GCD of numbers 323, 625, 749, 210 is 1
Given Input Data is 323, 625, 749, 210
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 749 is 7 x 107
Prime Factorization of 210 is 2 x 3 x 5 x 7
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(323, 625) = 201875
GCD(323, 625) = ( 323 x 625 ) / 201875
GCD(323, 625) = 201875 / 201875
GCD(323, 625) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 749
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
GCD(1, 749) = 749 / 749
GCD(1, 749) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 210) = 210
GCD(1, 210) = ( 1 x 210 ) / 210
GCD(1, 210) = 210 / 210
GCD(1, 210) = 1
GCD of 323, 625, 749, 210 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 625, 749, 210?
GCD of 323, 625, 749, 210 is 1
2. Where do I get the detailed procedure to find GCD of 323, 625, 749, 210?
You can find a detailed procedure to find GCD of 323, 625, 749, 210 on our page.
3. How to find GCD of 323, 625, 749, 210 on a calculator?
You can find the GCD of 323, 625, 749, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.