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 169, 173, 28, 400 i.e. 1 largest integer that divides all the numbers equally.
GCD of 169, 173, 28, 400 is 1
GCD(169, 173, 28, 400) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 169, 173, 28, 400 is 1
GCD(169, 173, 28, 400) = 1
Given Input numbers are 169, 173, 28, 400
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
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
Greatest Common Divisior
We found the divisors of 169, 173, 28, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 173, 28, 400 is 1.
Therefore, GCD of numbers 169, 173, 28, 400 is 1
Given Input Data is 169, 173, 28, 400
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 169 is 13 x 13
Prime Factorization of 173 is 173
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 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(169, 173) = 29237
GCD(169, 173) = ( 169 x 173 ) / 29237
GCD(169, 173) = 29237 / 29237
GCD(169, 173) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
GCD of 169, 173, 28, 400 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 169, 173, 28, 400?
GCD of 169, 173, 28, 400 is 1
2. Where do I get the detailed procedure to find GCD of 169, 173, 28, 400?
You can find a detailed procedure to find GCD of 169, 173, 28, 400 on our page.
3. How to find GCD of 169, 173, 28, 400 on a calculator?
You can find the GCD of 169, 173, 28, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.