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 825, 834, 155, 530 i.e. 1 largest integer that divides all the numbers equally.
GCD of 825, 834, 155, 530 is 1
GCD(825, 834, 155, 530) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 825, 834, 155, 530 is 1
GCD(825, 834, 155, 530) = 1
Given Input numbers are 825, 834, 155, 530
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Greatest Common Divisior
We found the divisors of 825, 834, 155, 530 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 834, 155, 530 is 1.
Therefore, GCD of numbers 825, 834, 155, 530 is 1
Given Input Data is 825, 834, 155, 530
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 155 is 5 x 31
Prime Factorization of 530 is 2 x 5 x 53
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(825, 834) = 229350
GCD(825, 834) = ( 825 x 834 ) / 229350
GCD(825, 834) = 688050 / 229350
GCD(825, 834) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 155) = 465
GCD(3, 155) = ( 3 x 155 ) / 465
GCD(3, 155) = 465 / 465
GCD(3, 155) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 530
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 530) = 530
GCD(1, 530) = ( 1 x 530 ) / 530
GCD(1, 530) = 530 / 530
GCD(1, 530) = 1
GCD of 825, 834, 155, 530 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 825, 834, 155, 530?
GCD of 825, 834, 155, 530 is 1
2. Where do I get the detailed procedure to find GCD of 825, 834, 155, 530?
You can find a detailed procedure to find GCD of 825, 834, 155, 530 on our page.
3. How to find GCD of 825, 834, 155, 530 on a calculator?
You can find the GCD of 825, 834, 155, 530 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.