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 528, 830, 158, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 528, 830, 158, 323 is 1
GCD(528, 830, 158, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 528, 830, 158, 323 is 1
GCD(528, 830, 158, 323) = 1
Given Input numbers are 528, 830, 158, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 528, 830, 158, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 830, 158, 323 is 1.
Therefore, GCD of numbers 528, 830, 158, 323 is 1
Given Input Data is 528, 830, 158, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 158 is 2 x 79
Prime Factorization of 323 is 17 x 19
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(528, 830) = 219120
GCD(528, 830) = ( 528 x 830 ) / 219120
GCD(528, 830) = 438240 / 219120
GCD(528, 830) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 158) = 158
GCD(2, 158) = ( 2 x 158 ) / 158
GCD(2, 158) = 316 / 158
GCD(2, 158) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 323) = 646
GCD(2, 323) = ( 2 x 323 ) / 646
GCD(2, 323) = 646 / 646
GCD(2, 323) = 1
GCD of 528, 830, 158, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 528, 830, 158, 323?
GCD of 528, 830, 158, 323 is 1
2. Where do I get the detailed procedure to find GCD of 528, 830, 158, 323?
You can find a detailed procedure to find GCD of 528, 830, 158, 323 on our page.
3. How to find GCD of 528, 830, 158, 323 on a calculator?
You can find the GCD of 528, 830, 158, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.