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 428, 640, 990, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 428, 640, 990, 245 is 1
GCD(428, 640, 990, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 428, 640, 990, 245 is 1
GCD(428, 640, 990, 245) = 1
Given Input numbers are 428, 640, 990, 245
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Greatest Common Divisior
We found the divisors of 428, 640, 990, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 640, 990, 245 is 1.
Therefore, GCD of numbers 428, 640, 990, 245 is 1
Given Input Data is 428, 640, 990, 245
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 245 is 5 x 7 x 7
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(428, 640) = 68480
GCD(428, 640) = ( 428 x 640 ) / 68480
GCD(428, 640) = 273920 / 68480
GCD(428, 640) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 990
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 990) = 1980
GCD(4, 990) = ( 4 x 990 ) / 1980
GCD(4, 990) = 3960 / 1980
GCD(4, 990) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 245) = 490
GCD(2, 245) = ( 2 x 245 ) / 490
GCD(2, 245) = 490 / 490
GCD(2, 245) = 1
GCD of 428, 640, 990, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 428, 640, 990, 245?
GCD of 428, 640, 990, 245 is 1
2. Where do I get the detailed procedure to find GCD of 428, 640, 990, 245?
You can find a detailed procedure to find GCD of 428, 640, 990, 245 on our page.
3. How to find GCD of 428, 640, 990, 245 on a calculator?
You can find the GCD of 428, 640, 990, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.