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, 455, 674 i.e. 1 largest integer that divides all the numbers equally.
GCD of 335, 455, 674 is 1
GCD(335, 455, 674) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 335, 455, 674 is 1
GCD(335, 455, 674) = 1
Given Input numbers are 335, 455, 674
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 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Greatest Common Divisior
We found the divisors of 335, 455, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 335, 455, 674 is 1.
Therefore, GCD of numbers 335, 455, 674 is 1
Given Input Data is 335, 455, 674
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 335 is 5 x 67
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 674 is 2 x 337
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, 455) = 30485
GCD(335, 455) = ( 335 x 455 ) / 30485
GCD(335, 455) = 152425 / 30485
GCD(335, 455) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 674) = 3370
GCD(5, 674) = ( 5 x 674 ) / 3370
GCD(5, 674) = 3370 / 3370
GCD(5, 674) = 1
GCD of 335, 455, 674 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 335, 455, 674?
GCD of 335, 455, 674 is 1
2. Where do I get the detailed procedure to find GCD of 335, 455, 674?
You can find a detailed procedure to find GCD of 335, 455, 674 on our page.
3. How to find GCD of 335, 455, 674 on a calculator?
You can find the GCD of 335, 455, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.