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 423, 732, 523, 528 i.e. 1 largest integer that divides all the numbers equally.
GCD of 423, 732, 523, 528 is 1
GCD(423, 732, 523, 528) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 423, 732, 523, 528 is 1
GCD(423, 732, 523, 528) = 1
Given Input numbers are 423, 732, 523, 528
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
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
Greatest Common Divisior
We found the divisors of 423, 732, 523, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 732, 523, 528 is 1.
Therefore, GCD of numbers 423, 732, 523, 528 is 1
Given Input Data is 423, 732, 523, 528
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 523 is 523
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
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(423, 732) = 103212
GCD(423, 732) = ( 423 x 732 ) / 103212
GCD(423, 732) = 309636 / 103212
GCD(423, 732) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 523
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 523) = 1569
GCD(3, 523) = ( 3 x 523 ) / 1569
GCD(3, 523) = 1569 / 1569
GCD(3, 523) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
GCD(1, 528) = 528 / 528
GCD(1, 528) = 1
GCD of 423, 732, 523, 528 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 423, 732, 523, 528?
GCD of 423, 732, 523, 528 is 1
2. Where do I get the detailed procedure to find GCD of 423, 732, 523, 528?
You can find a detailed procedure to find GCD of 423, 732, 523, 528 on our page.
3. How to find GCD of 423, 732, 523, 528 on a calculator?
You can find the GCD of 423, 732, 523, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.