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, 408, 671 i.e. 1 largest integer that divides all the numbers equally.
GCD of 640, 408, 671 is 1
GCD(640, 408, 671) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 640, 408, 671 is 1
GCD(640, 408, 671) = 1
Given Input numbers are 640, 408, 671
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 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Greatest Common Divisior
We found the divisors of 640, 408, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 408, 671 is 1.
Therefore, GCD of numbers 640, 408, 671 is 1
Given Input Data is 640, 408, 671
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 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 671 is 11 x 61
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, 408) = 32640
GCD(640, 408) = ( 640 x 408 ) / 32640
GCD(640, 408) = 261120 / 32640
GCD(640, 408) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 671) = 5368
GCD(8, 671) = ( 8 x 671 ) / 5368
GCD(8, 671) = 5368 / 5368
GCD(8, 671) = 1
GCD of 640, 408, 671 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 640, 408, 671?
GCD of 640, 408, 671 is 1
2. Where do I get the detailed procedure to find GCD of 640, 408, 671?
You can find a detailed procedure to find GCD of 640, 408, 671 on our page.
3. How to find GCD of 640, 408, 671 on a calculator?
You can find the GCD of 640, 408, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.