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 24, 215, 754, 237 i.e. 1 largest integer that divides all the numbers equally.
GCD of 24, 215, 754, 237 is 1
GCD(24, 215, 754, 237) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 24, 215, 754, 237 is 1
GCD(24, 215, 754, 237) = 1
Given Input numbers are 24, 215, 754, 237
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
Divisors of 754
List of positive integer divisors of 754 that divides 754 without a remainder.
1, 2, 13, 26, 29, 58, 377, 754
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Greatest Common Divisior
We found the divisors of 24, 215, 754, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 215, 754, 237 is 1.
Therefore, GCD of numbers 24, 215, 754, 237 is 1
Given Input Data is 24, 215, 754, 237
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 215 is 5 x 43
Prime Factorization of 754 is 2 x 13 x 29
Prime Factorization of 237 is 3 x 79
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(24, 215) = 5160
GCD(24, 215) = ( 24 x 215 ) / 5160
GCD(24, 215) = 5160 / 5160
GCD(24, 215) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 754
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 754) = 754
GCD(1, 754) = ( 1 x 754 ) / 754
GCD(1, 754) = 754 / 754
GCD(1, 754) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 237) = 237
GCD(1, 237) = ( 1 x 237 ) / 237
GCD(1, 237) = 237 / 237
GCD(1, 237) = 1
GCD of 24, 215, 754, 237 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 24, 215, 754, 237?
GCD of 24, 215, 754, 237 is 1
2. Where do I get the detailed procedure to find GCD of 24, 215, 754, 237?
You can find a detailed procedure to find GCD of 24, 215, 754, 237 on our page.
3. How to find GCD of 24, 215, 754, 237 on a calculator?
You can find the GCD of 24, 215, 754, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.