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 355, 302, 940, 415 i.e. 1 largest integer that divides all the numbers equally.
GCD of 355, 302, 940, 415 is 1
GCD(355, 302, 940, 415) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 355, 302, 940, 415 is 1
GCD(355, 302, 940, 415) = 1
Given Input numbers are 355, 302, 940, 415
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 415
List of positive integer divisors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Greatest Common Divisior
We found the divisors of 355, 302, 940, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 302, 940, 415 is 1.
Therefore, GCD of numbers 355, 302, 940, 415 is 1
Given Input Data is 355, 302, 940, 415
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 355 is 5 x 71
Prime Factorization of 302 is 2 x 151
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 415 is 5 x 83
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(355, 302) = 107210
GCD(355, 302) = ( 355 x 302 ) / 107210
GCD(355, 302) = 107210 / 107210
GCD(355, 302) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 940
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 940) = 940
GCD(1, 940) = ( 1 x 940 ) / 940
GCD(1, 940) = 940 / 940
GCD(1, 940) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 415
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 415) = 415
GCD(1, 415) = ( 1 x 415 ) / 415
GCD(1, 415) = 415 / 415
GCD(1, 415) = 1
GCD of 355, 302, 940, 415 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 355, 302, 940, 415?
GCD of 355, 302, 940, 415 is 1
2. Where do I get the detailed procedure to find GCD of 355, 302, 940, 415?
You can find a detailed procedure to find GCD of 355, 302, 940, 415 on our page.
3. How to find GCD of 355, 302, 940, 415 on a calculator?
You can find the GCD of 355, 302, 940, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.