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 340, 415, 335, 128 i.e. 1 largest integer that divides all the numbers equally.
GCD of 340, 415, 335, 128 is 1
GCD(340, 415, 335, 128) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 340, 415, 335, 128 is 1
GCD(340, 415, 335, 128) = 1
Given Input numbers are 340, 415, 335, 128
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 415
List of positive integer divisors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Greatest Common Divisior
We found the divisors of 340, 415, 335, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 415, 335, 128 is 1.
Therefore, GCD of numbers 340, 415, 335, 128 is 1
Given Input Data is 340, 415, 335, 128
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 415 is 5 x 83
Prime Factorization of 335 is 5 x 67
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
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(340, 415) = 28220
GCD(340, 415) = ( 340 x 415 ) / 28220
GCD(340, 415) = 141100 / 28220
GCD(340, 415) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 335) = 335
GCD(5, 335) = ( 5 x 335 ) / 335
GCD(5, 335) = 1675 / 335
GCD(5, 335) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 128) = 640
GCD(5, 128) = ( 5 x 128 ) / 640
GCD(5, 128) = 640 / 640
GCD(5, 128) = 1
GCD of 340, 415, 335, 128 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 340, 415, 335, 128?
GCD of 340, 415, 335, 128 is 1
2. Where do I get the detailed procedure to find GCD of 340, 415, 335, 128?
You can find a detailed procedure to find GCD of 340, 415, 335, 128 on our page.
3. How to find GCD of 340, 415, 335, 128 on a calculator?
You can find the GCD of 340, 415, 335, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.