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 251, 480, 603, 912 i.e. 1 largest integer that divides all the numbers equally.
GCD of 251, 480, 603, 912 is 1
GCD(251, 480, 603, 912) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 251, 480, 603, 912 is 1
GCD(251, 480, 603, 912) = 1
Given Input numbers are 251, 480, 603, 912
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 603
List of positive integer divisors of 603 that divides 603 without a remainder.
1, 3, 9, 67, 201, 603
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Greatest Common Divisior
We found the divisors of 251, 480, 603, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 251, 480, 603, 912 is 1.
Therefore, GCD of numbers 251, 480, 603, 912 is 1
Given Input Data is 251, 480, 603, 912
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 251 is 251
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 603 is 3 x 3 x 67
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
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(251, 480) = 120480
GCD(251, 480) = ( 251 x 480 ) / 120480
GCD(251, 480) = 120480 / 120480
GCD(251, 480) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 603
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 603) = 603
GCD(1, 603) = ( 1 x 603 ) / 603
GCD(1, 603) = 603 / 603
GCD(1, 603) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 912
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 912) = 912
GCD(1, 912) = ( 1 x 912 ) / 912
GCD(1, 912) = 912 / 912
GCD(1, 912) = 1
GCD of 251, 480, 603, 912 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 251, 480, 603, 912?
GCD of 251, 480, 603, 912 is 1
2. Where do I get the detailed procedure to find GCD of 251, 480, 603, 912?
You can find a detailed procedure to find GCD of 251, 480, 603, 912 on our page.
3. How to find GCD of 251, 480, 603, 912 on a calculator?
You can find the GCD of 251, 480, 603, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.