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, 576, 97, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 253, 576, 97, 624 is 1
GCD(253, 576, 97, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 253, 576, 97, 624 is 1
GCD(253, 576, 97, 624) = 1
Given Input numbers are 253, 576, 97, 624
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 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 97
List of positive integer divisors of 97 that divides 97 without a remainder.
1, 97
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Greatest Common Divisior
We found the divisors of 253, 576, 97, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 576, 97, 624 is 1.
Therefore, GCD of numbers 253, 576, 97, 624 is 1
Given Input Data is 253, 576, 97, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 253 is 11 x 23
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 97 is 97
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 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(253, 576) = 145728
GCD(253, 576) = ( 253 x 576 ) / 145728
GCD(253, 576) = 145728 / 145728
GCD(253, 576) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 97
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 97) = 97
GCD(1, 97) = ( 1 x 97 ) / 97
GCD(1, 97) = 97 / 97
GCD(1, 97) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
GCD of 253, 576, 97, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 253, 576, 97, 624?
GCD of 253, 576, 97, 624 is 1
2. Where do I get the detailed procedure to find GCD of 253, 576, 97, 624?
You can find a detailed procedure to find GCD of 253, 576, 97, 624 on our page.
3. How to find GCD of 253, 576, 97, 624 on a calculator?
You can find the GCD of 253, 576, 97, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.