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, 225, 60, 257 i.e. 1 largest integer that divides all the numbers equally.
GCD of 253, 225, 60, 257 is 1
GCD(253, 225, 60, 257) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 253, 225, 60, 257 is 1
GCD(253, 225, 60, 257) = 1
Given Input numbers are 253, 225, 60, 257
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 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 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Greatest Common Divisior
We found the divisors of 253, 225, 60, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 225, 60, 257 is 1.
Therefore, GCD of numbers 253, 225, 60, 257 is 1
Given Input Data is 253, 225, 60, 257
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 253 is 11 x 23
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 257 is 257
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, 225) = 56925
GCD(253, 225) = ( 253 x 225 ) / 56925
GCD(253, 225) = 56925 / 56925
GCD(253, 225) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 257
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 257) = 257
GCD(1, 257) = ( 1 x 257 ) / 257
GCD(1, 257) = 257 / 257
GCD(1, 257) = 1
GCD of 253, 225, 60, 257 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 253, 225, 60, 257?
GCD of 253, 225, 60, 257 is 1
2. Where do I get the detailed procedure to find GCD of 253, 225, 60, 257?
You can find a detailed procedure to find GCD of 253, 225, 60, 257 on our page.
3. How to find GCD of 253, 225, 60, 257 on a calculator?
You can find the GCD of 253, 225, 60, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.