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 237, 918, 276, 573 i.e. 3 largest integer that divides all the numbers equally.
GCD of 237, 918, 276, 573 is 3
GCD(237, 918, 276, 573) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 237, 918, 276, 573 is 3
GCD(237, 918, 276, 573) = 3
Given Input numbers are 237, 918, 276, 573
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
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 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Greatest Common Divisior
We found the divisors of 237, 918, 276, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 918, 276, 573 is 3.
Therefore, GCD of numbers 237, 918, 276, 573 is 3
Given Input Data is 237, 918, 276, 573
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 237 is 3 x 79
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 573 is 3 x 191
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(237, 918) = 72522
GCD(237, 918) = ( 237 x 918 ) / 72522
GCD(237, 918) = 217566 / 72522
GCD(237, 918) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 276) = 276
GCD(3, 276) = ( 3 x 276 ) / 276
GCD(3, 276) = 828 / 276
GCD(3, 276) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 573
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 573) = 573
GCD(3, 573) = ( 3 x 573 ) / 573
GCD(3, 573) = 1719 / 573
GCD(3, 573) = 3
GCD of 237, 918, 276, 573 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 237, 918, 276, 573?
GCD of 237, 918, 276, 573 is 3
2. Where do I get the detailed procedure to find GCD of 237, 918, 276, 573?
You can find a detailed procedure to find GCD of 237, 918, 276, 573 on our page.
3. How to find GCD of 237, 918, 276, 573 on a calculator?
You can find the GCD of 237, 918, 276, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.