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 400, 408, 169 i.e. 1 largest integer that divides all the numbers equally.
GCD of 400, 408, 169 is 1
GCD(400, 408, 169) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 400, 408, 169 is 1
GCD(400, 408, 169) = 1
Given Input numbers are 400, 408, 169
To find the GCD of numbers using factoring list out all the divisors of each number
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 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Greatest Common Divisior
We found the divisors of 400, 408, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 400, 408, 169 is 1.
Therefore, GCD of numbers 400, 408, 169 is 1
Given Input Data is 400, 408, 169
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 169 is 13 x 13
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(400, 408) = 20400
GCD(400, 408) = ( 400 x 408 ) / 20400
GCD(400, 408) = 163200 / 20400
GCD(400, 408) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 169) = 1352
GCD(8, 169) = ( 8 x 169 ) / 1352
GCD(8, 169) = 1352 / 1352
GCD(8, 169) = 1
GCD of 400, 408, 169 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 400, 408, 169?
GCD of 400, 408, 169 is 1
2. Where do I get the detailed procedure to find GCD of 400, 408, 169?
You can find a detailed procedure to find GCD of 400, 408, 169 on our page.
3. How to find GCD of 400, 408, 169 on a calculator?
You can find the GCD of 400, 408, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.