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 530, 431, 10, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 530, 431, 10, 675 is 1
GCD(530, 431, 10, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 530, 431, 10, 675 is 1
GCD(530, 431, 10, 675) = 1
Given Input numbers are 530, 431, 10, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 530, 431, 10, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 431, 10, 675 is 1.
Therefore, GCD of numbers 530, 431, 10, 675 is 1
Given Input Data is 530, 431, 10, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 431 is 431
Prime Factorization of 10 is 2 x 5
Prime Factorization of 675 is 3 x 3 x 3 x 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(530, 431) = 228430
GCD(530, 431) = ( 530 x 431 ) / 228430
GCD(530, 431) = 228430 / 228430
GCD(530, 431) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 530, 431, 10, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 530, 431, 10, 675?
GCD of 530, 431, 10, 675 is 1
2. Where do I get the detailed procedure to find GCD of 530, 431, 10, 675?
You can find a detailed procedure to find GCD of 530, 431, 10, 675 on our page.
3. How to find GCD of 530, 431, 10, 675 on a calculator?
You can find the GCD of 530, 431, 10, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.