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 441, 552, 25, 193 i.e. 1 largest integer that divides all the numbers equally.
GCD of 441, 552, 25, 193 is 1
GCD(441, 552, 25, 193) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 441, 552, 25, 193 is 1
GCD(441, 552, 25, 193) = 1
Given Input numbers are 441, 552, 25, 193
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 193
List of positive integer divisors of 193 that divides 193 without a remainder.
1, 193
Greatest Common Divisior
We found the divisors of 441, 552, 25, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 552, 25, 193 is 1.
Therefore, GCD of numbers 441, 552, 25, 193 is 1
Given Input Data is 441, 552, 25, 193
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 25 is 5 x 5
Prime Factorization of 193 is 193
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(441, 552) = 81144
GCD(441, 552) = ( 441 x 552 ) / 81144
GCD(441, 552) = 243432 / 81144
GCD(441, 552) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 25) = 75
GCD(3, 25) = ( 3 x 25 ) / 75
GCD(3, 25) = 75 / 75
GCD(3, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 193
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 193) = 193
GCD(1, 193) = ( 1 x 193 ) / 193
GCD(1, 193) = 193 / 193
GCD(1, 193) = 1
GCD of 441, 552, 25, 193 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 441, 552, 25, 193?
GCD of 441, 552, 25, 193 is 1
2. Where do I get the detailed procedure to find GCD of 441, 552, 25, 193?
You can find a detailed procedure to find GCD of 441, 552, 25, 193 on our page.
3. How to find GCD of 441, 552, 25, 193 on a calculator?
You can find the GCD of 441, 552, 25, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.