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 455, 278, 24, 552 i.e. 1 largest integer that divides all the numbers equally.
GCD of 455, 278, 24, 552 is 1
GCD(455, 278, 24, 552) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 455, 278, 24, 552 is 1
GCD(455, 278, 24, 552) = 1
Given Input numbers are 455, 278, 24, 552
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 455
List of positive integer divisors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
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
Greatest Common Divisior
We found the divisors of 455, 278, 24, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 455, 278, 24, 552 is 1.
Therefore, GCD of numbers 455, 278, 24, 552 is 1
Given Input Data is 455, 278, 24, 552
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 455 is 5 x 7 x 13
Prime Factorization of 278 is 2 x 139
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
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(455, 278) = 126490
GCD(455, 278) = ( 455 x 278 ) / 126490
GCD(455, 278) = 126490 / 126490
GCD(455, 278) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 552) = 552
GCD(1, 552) = ( 1 x 552 ) / 552
GCD(1, 552) = 552 / 552
GCD(1, 552) = 1
GCD of 455, 278, 24, 552 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 455, 278, 24, 552?
GCD of 455, 278, 24, 552 is 1
2. Where do I get the detailed procedure to find GCD of 455, 278, 24, 552?
You can find a detailed procedure to find GCD of 455, 278, 24, 552 on our page.
3. How to find GCD of 455, 278, 24, 552 on a calculator?
You can find the GCD of 455, 278, 24, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.