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 296, 237, 40, 102 i.e. 1 largest integer that divides all the numbers equally.
GCD of 296, 237, 40, 102 is 1
GCD(296, 237, 40, 102) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 296, 237, 40, 102 is 1
GCD(296, 237, 40, 102) = 1
Given Input numbers are 296, 237, 40, 102
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Greatest Common Divisior
We found the divisors of 296, 237, 40, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 237, 40, 102 is 1.
Therefore, GCD of numbers 296, 237, 40, 102 is 1
Given Input Data is 296, 237, 40, 102
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 237 is 3 x 79
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 102 is 2 x 3 x 17
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(296, 237) = 70152
GCD(296, 237) = ( 296 x 237 ) / 70152
GCD(296, 237) = 70152 / 70152
GCD(296, 237) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 40) = 40
GCD(1, 40) = ( 1 x 40 ) / 40
GCD(1, 40) = 40 / 40
GCD(1, 40) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
GCD(1, 102) = 102 / 102
GCD(1, 102) = 1
GCD of 296, 237, 40, 102 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 296, 237, 40, 102?
GCD of 296, 237, 40, 102 is 1
2. Where do I get the detailed procedure to find GCD of 296, 237, 40, 102?
You can find a detailed procedure to find GCD of 296, 237, 40, 102 on our page.
3. How to find GCD of 296, 237, 40, 102 on a calculator?
You can find the GCD of 296, 237, 40, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.