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 445, 155, 432, 208 i.e. 1 largest integer that divides all the numbers equally.
GCD of 445, 155, 432, 208 is 1
GCD(445, 155, 432, 208) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 445, 155, 432, 208 is 1
GCD(445, 155, 432, 208) = 1
Given Input numbers are 445, 155, 432, 208
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 208
List of positive integer divisors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Greatest Common Divisior
We found the divisors of 445, 155, 432, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 445, 155, 432, 208 is 1.
Therefore, GCD of numbers 445, 155, 432, 208 is 1
Given Input Data is 445, 155, 432, 208
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 445 is 5 x 89
Prime Factorization of 155 is 5 x 31
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 208 is 2 x 2 x 2 x 2 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(445, 155) = 13795
GCD(445, 155) = ( 445 x 155 ) / 13795
GCD(445, 155) = 68975 / 13795
GCD(445, 155) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 432) = 2160
GCD(5, 432) = ( 5 x 432 ) / 2160
GCD(5, 432) = 2160 / 2160
GCD(5, 432) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 208
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 208) = 208
GCD(1, 208) = ( 1 x 208 ) / 208
GCD(1, 208) = 208 / 208
GCD(1, 208) = 1
GCD of 445, 155, 432, 208 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 445, 155, 432, 208?
GCD of 445, 155, 432, 208 is 1
2. Where do I get the detailed procedure to find GCD of 445, 155, 432, 208?
You can find a detailed procedure to find GCD of 445, 155, 432, 208 on our page.
3. How to find GCD of 445, 155, 432, 208 on a calculator?
You can find the GCD of 445, 155, 432, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.