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 335, 670, 17, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 335, 670, 17, 629 is 1
GCD(335, 670, 17, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 335, 670, 17, 629 is 1
GCD(335, 670, 17, 629) = 1
Given Input numbers are 335, 670, 17, 629
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 335, 670, 17, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 335, 670, 17, 629 is 1.
Therefore, GCD of numbers 335, 670, 17, 629 is 1
Given Input Data is 335, 670, 17, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 335 is 5 x 67
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 17 is 17
Prime Factorization of 629 is 17 x 37
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(335, 670) = 670
GCD(335, 670) = ( 335 x 670 ) / 670
GCD(335, 670) = 224450 / 670
GCD(335, 670) = 335
Step2:
Here we consider the GCD from the above i.e. 335 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(335, 17) = 5695
GCD(335, 17) = ( 335 x 17 ) / 5695
GCD(335, 17) = 5695 / 5695
GCD(335, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 335, 670, 17, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 335, 670, 17, 629?
GCD of 335, 670, 17, 629 is 1
2. Where do I get the detailed procedure to find GCD of 335, 670, 17, 629?
You can find a detailed procedure to find GCD of 335, 670, 17, 629 on our page.
3. How to find GCD of 335, 670, 17, 629 on a calculator?
You can find the GCD of 335, 670, 17, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.