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 573, 918, 81, 534 i.e. 3 largest integer that divides all the numbers equally.
GCD of 573, 918, 81, 534 is 3
GCD(573, 918, 81, 534) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 573, 918, 81, 534 is 3
GCD(573, 918, 81, 534) = 3
Given Input numbers are 573, 918, 81, 534
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Greatest Common Divisior
We found the divisors of 573, 918, 81, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 918, 81, 534 is 3.
Therefore, GCD of numbers 573, 918, 81, 534 is 3
Given Input Data is 573, 918, 81, 534
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 573 is 3 x 191
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 534 is 2 x 3 x 89
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(573, 918) = 175338
GCD(573, 918) = ( 573 x 918 ) / 175338
GCD(573, 918) = 526014 / 175338
GCD(573, 918) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 81) = 81
GCD(3, 81) = ( 3 x 81 ) / 81
GCD(3, 81) = 243 / 81
GCD(3, 81) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 534) = 534
GCD(3, 534) = ( 3 x 534 ) / 534
GCD(3, 534) = 1602 / 534
GCD(3, 534) = 3
GCD of 573, 918, 81, 534 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 573, 918, 81, 534?
GCD of 573, 918, 81, 534 is 3
2. Where do I get the detailed procedure to find GCD of 573, 918, 81, 534?
You can find a detailed procedure to find GCD of 573, 918, 81, 534 on our page.
3. How to find GCD of 573, 918, 81, 534 on a calculator?
You can find the GCD of 573, 918, 81, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.