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 650, 428, 48, 459 i.e. 1 largest integer that divides all the numbers equally.
GCD of 650, 428, 48, 459 is 1
GCD(650, 428, 48, 459) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 650, 428, 48, 459 is 1
GCD(650, 428, 48, 459) = 1
Given Input numbers are 650, 428, 48, 459
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Greatest Common Divisior
We found the divisors of 650, 428, 48, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 428, 48, 459 is 1.
Therefore, GCD of numbers 650, 428, 48, 459 is 1
Given Input Data is 650, 428, 48, 459
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 459 is 3 x 3 x 3 x 17
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(650, 428) = 139100
GCD(650, 428) = ( 650 x 428 ) / 139100
GCD(650, 428) = 278200 / 139100
GCD(650, 428) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
GCD(2, 48) = 96 / 48
GCD(2, 48) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 459
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 459) = 918
GCD(2, 459) = ( 2 x 459 ) / 918
GCD(2, 459) = 918 / 918
GCD(2, 459) = 1
GCD of 650, 428, 48, 459 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 650, 428, 48, 459?
GCD of 650, 428, 48, 459 is 1
2. Where do I get the detailed procedure to find GCD of 650, 428, 48, 459?
You can find a detailed procedure to find GCD of 650, 428, 48, 459 on our page.
3. How to find GCD of 650, 428, 48, 459 on a calculator?
You can find the GCD of 650, 428, 48, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.