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, 126, 99, 824 i.e. 1 largest integer that divides all the numbers equally.
GCD of 237, 126, 99, 824 is 1
GCD(237, 126, 99, 824) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 237, 126, 99, 824 is 1
GCD(237, 126, 99, 824) = 1
Given Input numbers are 237, 126, 99, 824
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 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 824
List of positive integer divisors of 824 that divides 824 without a remainder.
1, 2, 4, 8, 103, 206, 412, 824
Greatest Common Divisior
We found the divisors of 237, 126, 99, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 126, 99, 824 is 1.
Therefore, GCD of numbers 237, 126, 99, 824 is 1
Given Input Data is 237, 126, 99, 824
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 237 is 3 x 79
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 824 is 2 x 2 x 2 x 103
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(237, 126) = 9954
GCD(237, 126) = ( 237 x 126 ) / 9954
GCD(237, 126) = 29862 / 9954
GCD(237, 126) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 99) = 99
GCD(3, 99) = ( 3 x 99 ) / 99
GCD(3, 99) = 297 / 99
GCD(3, 99) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 824
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 824) = 2472
GCD(3, 824) = ( 3 x 824 ) / 2472
GCD(3, 824) = 2472 / 2472
GCD(3, 824) = 1
GCD of 237, 126, 99, 824 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 237, 126, 99, 824?
GCD of 237, 126, 99, 824 is 1
2. Where do I get the detailed procedure to find GCD of 237, 126, 99, 824?
You can find a detailed procedure to find GCD of 237, 126, 99, 824 on our page.
3. How to find GCD of 237, 126, 99, 824 on a calculator?
You can find the GCD of 237, 126, 99, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.