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, 509, 35, 798 i.e. 1 largest integer that divides all the numbers equally.
GCD of 237, 509, 35, 798 is 1
GCD(237, 509, 35, 798) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 237, 509, 35, 798 is 1
GCD(237, 509, 35, 798) = 1
Given Input numbers are 237, 509, 35, 798
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 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Greatest Common Divisior
We found the divisors of 237, 509, 35, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 509, 35, 798 is 1.
Therefore, GCD of numbers 237, 509, 35, 798 is 1
Given Input Data is 237, 509, 35, 798
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 237 is 3 x 79
Prime Factorization of 509 is 509
Prime Factorization of 35 is 5 x 7
Prime Factorization of 798 is 2 x 3 x 7 x 19
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, 509) = 120633
GCD(237, 509) = ( 237 x 509 ) / 120633
GCD(237, 509) = 120633 / 120633
GCD(237, 509) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 35) = 35
GCD(1, 35) = ( 1 x 35 ) / 35
GCD(1, 35) = 35 / 35
GCD(1, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 798
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 798) = 798
GCD(1, 798) = ( 1 x 798 ) / 798
GCD(1, 798) = 798 / 798
GCD(1, 798) = 1
GCD of 237, 509, 35, 798 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 237, 509, 35, 798?
GCD of 237, 509, 35, 798 is 1
2. Where do I get the detailed procedure to find GCD of 237, 509, 35, 798?
You can find a detailed procedure to find GCD of 237, 509, 35, 798 on our page.
3. How to find GCD of 237, 509, 35, 798 on a calculator?
You can find the GCD of 237, 509, 35, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.