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 234, 502, 46, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 234, 502, 46, 335 is 1
GCD(234, 502, 46, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 234, 502, 46, 335 is 1
GCD(234, 502, 46, 335) = 1
Given Input numbers are 234, 502, 46, 335
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 234, 502, 46, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 234, 502, 46, 335 is 1.
Therefore, GCD of numbers 234, 502, 46, 335 is 1
Given Input Data is 234, 502, 46, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 502 is 2 x 251
Prime Factorization of 46 is 2 x 23
Prime Factorization of 335 is 5 x 67
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(234, 502) = 58734
GCD(234, 502) = ( 234 x 502 ) / 58734
GCD(234, 502) = 117468 / 58734
GCD(234, 502) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 46) = 46
GCD(2, 46) = ( 2 x 46 ) / 46
GCD(2, 46) = 92 / 46
GCD(2, 46) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 335) = 670
GCD(2, 335) = ( 2 x 335 ) / 670
GCD(2, 335) = 670 / 670
GCD(2, 335) = 1
GCD of 234, 502, 46, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 234, 502, 46, 335?
GCD of 234, 502, 46, 335 is 1
2. Where do I get the detailed procedure to find GCD of 234, 502, 46, 335?
You can find a detailed procedure to find GCD of 234, 502, 46, 335 on our page.
3. How to find GCD of 234, 502, 46, 335 on a calculator?
You can find the GCD of 234, 502, 46, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.