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 253, 449, 72, 175 i.e. 1 largest integer that divides all the numbers equally.
GCD of 253, 449, 72, 175 is 1
GCD(253, 449, 72, 175) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 253, 449, 72, 175 is 1
GCD(253, 449, 72, 175) = 1
Given Input numbers are 253, 449, 72, 175
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Greatest Common Divisior
We found the divisors of 253, 449, 72, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 449, 72, 175 is 1.
Therefore, GCD of numbers 253, 449, 72, 175 is 1
Given Input Data is 253, 449, 72, 175
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 253 is 11 x 23
Prime Factorization of 449 is 449
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 175 is 5 x 5 x 7
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(253, 449) = 113597
GCD(253, 449) = ( 253 x 449 ) / 113597
GCD(253, 449) = 113597 / 113597
GCD(253, 449) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
GCD(1, 175) = 175 / 175
GCD(1, 175) = 1
GCD of 253, 449, 72, 175 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 253, 449, 72, 175?
GCD of 253, 449, 72, 175 is 1
2. Where do I get the detailed procedure to find GCD of 253, 449, 72, 175?
You can find a detailed procedure to find GCD of 253, 449, 72, 175 on our page.
3. How to find GCD of 253, 449, 72, 175 on a calculator?
You can find the GCD of 253, 449, 72, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.