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 353, 400, 818, 135 i.e. 1 largest integer that divides all the numbers equally.
GCD of 353, 400, 818, 135 is 1
GCD(353, 400, 818, 135) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 353, 400, 818, 135 is 1
GCD(353, 400, 818, 135) = 1
Given Input numbers are 353, 400, 818, 135
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Greatest Common Divisior
We found the divisors of 353, 400, 818, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 400, 818, 135 is 1.
Therefore, GCD of numbers 353, 400, 818, 135 is 1
Given Input Data is 353, 400, 818, 135
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 353 is 353
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 818 is 2 x 409
Prime Factorization of 135 is 3 x 3 x 3 x 5
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(353, 400) = 141200
GCD(353, 400) = ( 353 x 400 ) / 141200
GCD(353, 400) = 141200 / 141200
GCD(353, 400) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 818
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 818) = 818
GCD(1, 818) = ( 1 x 818 ) / 818
GCD(1, 818) = 818 / 818
GCD(1, 818) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
GCD(1, 135) = 135 / 135
GCD(1, 135) = 1
GCD of 353, 400, 818, 135 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 353, 400, 818, 135?
GCD of 353, 400, 818, 135 is 1
2. Where do I get the detailed procedure to find GCD of 353, 400, 818, 135?
You can find a detailed procedure to find GCD of 353, 400, 818, 135 on our page.
3. How to find GCD of 353, 400, 818, 135 on a calculator?
You can find the GCD of 353, 400, 818, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.