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 346, 634, 18, 633 i.e. 1 largest integer that divides all the numbers equally.
GCD of 346, 634, 18, 633 is 1
GCD(346, 634, 18, 633) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 346, 634, 18, 633 is 1
GCD(346, 634, 18, 633) = 1
Given Input numbers are 346, 634, 18, 633
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Greatest Common Divisior
We found the divisors of 346, 634, 18, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 346, 634, 18, 633 is 1.
Therefore, GCD of numbers 346, 634, 18, 633 is 1
Given Input Data is 346, 634, 18, 633
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 346 is 2 x 173
Prime Factorization of 634 is 2 x 317
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 633 is 3 x 211
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(346, 634) = 109682
GCD(346, 634) = ( 346 x 634 ) / 109682
GCD(346, 634) = 219364 / 109682
GCD(346, 634) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 18) = 18
GCD(2, 18) = ( 2 x 18 ) / 18
GCD(2, 18) = 36 / 18
GCD(2, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 633) = 1266
GCD(2, 633) = ( 2 x 633 ) / 1266
GCD(2, 633) = 1266 / 1266
GCD(2, 633) = 1
GCD of 346, 634, 18, 633 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 346, 634, 18, 633?
GCD of 346, 634, 18, 633 is 1
2. Where do I get the detailed procedure to find GCD of 346, 634, 18, 633?
You can find a detailed procedure to find GCD of 346, 634, 18, 633 on our page.
3. How to find GCD of 346, 634, 18, 633 on a calculator?
You can find the GCD of 346, 634, 18, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.