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, 225, 452, 850 i.e. 1 largest integer that divides all the numbers equally.
GCD of 169, 225, 452, 850 is 1
GCD(169, 225, 452, 850) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 169, 225, 452, 850 is 1
GCD(169, 225, 452, 850) = 1
Given Input numbers are 169, 225, 452, 850
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 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Greatest Common Divisior
We found the divisors of 169, 225, 452, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 225, 452, 850 is 1.
Therefore, GCD of numbers 169, 225, 452, 850 is 1
Given Input Data is 169, 225, 452, 850
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 169 is 13 x 13
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 452 is 2 x 2 x 113
Prime Factorization of 850 is 2 x 5 x 5 x 17
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, 225) = 38025
GCD(169, 225) = ( 169 x 225 ) / 38025
GCD(169, 225) = 38025 / 38025
GCD(169, 225) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 452) = 452
GCD(1, 452) = ( 1 x 452 ) / 452
GCD(1, 452) = 452 / 452
GCD(1, 452) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
GCD of 169, 225, 452, 850 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 169, 225, 452, 850?
GCD of 169, 225, 452, 850 is 1
2. Where do I get the detailed procedure to find GCD of 169, 225, 452, 850?
You can find a detailed procedure to find GCD of 169, 225, 452, 850 on our page.
3. How to find GCD of 169, 225, 452, 850 on a calculator?
You can find the GCD of 169, 225, 452, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.