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 880, 809, 10, 640 i.e. 1 largest integer that divides all the numbers equally.
GCD of 880, 809, 10, 640 is 1
GCD(880, 809, 10, 640) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 809, 10, 640 is 1
GCD(880, 809, 10, 640) = 1
Given Input numbers are 880, 809, 10, 640
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
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
Greatest Common Divisior
We found the divisors of 880, 809, 10, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 809, 10, 640 is 1.
Therefore, GCD of numbers 880, 809, 10, 640 is 1
Given Input Data is 880, 809, 10, 640
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 809 is 809
Prime Factorization of 10 is 2 x 5
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
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(880, 809) = 711920
GCD(880, 809) = ( 880 x 809 ) / 711920
GCD(880, 809) = 711920 / 711920
GCD(880, 809) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 640) = 640
GCD(1, 640) = ( 1 x 640 ) / 640
GCD(1, 640) = 640 / 640
GCD(1, 640) = 1
GCD of 880, 809, 10, 640 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 809, 10, 640?
GCD of 880, 809, 10, 640 is 1
2. Where do I get the detailed procedure to find GCD of 880, 809, 10, 640?
You can find a detailed procedure to find GCD of 880, 809, 10, 640 on our page.
3. How to find GCD of 880, 809, 10, 640 on a calculator?
You can find the GCD of 880, 809, 10, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.