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 640, 270, 43, 489 i.e. 1 largest integer that divides all the numbers equally.
GCD of 640, 270, 43, 489 is 1
GCD(640, 270, 43, 489) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 640, 270, 43, 489 is 1
GCD(640, 270, 43, 489) = 1
Given Input numbers are 640, 270, 43, 489
To find the GCD of numbers using factoring list out all the divisors of each number
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 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 489
List of positive integer divisors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Greatest Common Divisior
We found the divisors of 640, 270, 43, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 270, 43, 489 is 1.
Therefore, GCD of numbers 640, 270, 43, 489 is 1
Given Input Data is 640, 270, 43, 489
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 43 is 43
Prime Factorization of 489 is 3 x 163
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(640, 270) = 17280
GCD(640, 270) = ( 640 x 270 ) / 17280
GCD(640, 270) = 172800 / 17280
GCD(640, 270) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 43) = 430
GCD(10, 43) = ( 10 x 43 ) / 430
GCD(10, 43) = 430 / 430
GCD(10, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 489
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 489) = 489
GCD(1, 489) = ( 1 x 489 ) / 489
GCD(1, 489) = 489 / 489
GCD(1, 489) = 1
GCD of 640, 270, 43, 489 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 640, 270, 43, 489?
GCD of 640, 270, 43, 489 is 1
2. Where do I get the detailed procedure to find GCD of 640, 270, 43, 489?
You can find a detailed procedure to find GCD of 640, 270, 43, 489 on our page.
3. How to find GCD of 640, 270, 43, 489 on a calculator?
You can find the GCD of 640, 270, 43, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.