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, 814, 67, 792 i.e. 1 largest integer that divides all the numbers equally.
GCD of 237, 814, 67, 792 is 1
GCD(237, 814, 67, 792) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 237, 814, 67, 792 is 1
GCD(237, 814, 67, 792) = 1
Given Input numbers are 237, 814, 67, 792
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 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Greatest Common Divisior
We found the divisors of 237, 814, 67, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 814, 67, 792 is 1.
Therefore, GCD of numbers 237, 814, 67, 792 is 1
Given Input Data is 237, 814, 67, 792
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 237 is 3 x 79
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 67 is 67
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
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, 814) = 192918
GCD(237, 814) = ( 237 x 814 ) / 192918
GCD(237, 814) = 192918 / 192918
GCD(237, 814) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 792
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 792) = 792
GCD(1, 792) = ( 1 x 792 ) / 792
GCD(1, 792) = 792 / 792
GCD(1, 792) = 1
GCD of 237, 814, 67, 792 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 237, 814, 67, 792?
GCD of 237, 814, 67, 792 is 1
2. Where do I get the detailed procedure to find GCD of 237, 814, 67, 792?
You can find a detailed procedure to find GCD of 237, 814, 67, 792 on our page.
3. How to find GCD of 237, 814, 67, 792 on a calculator?
You can find the GCD of 237, 814, 67, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.