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 440, 688, 10, 880 i.e. 2 largest integer that divides all the numbers equally.
GCD of 440, 688, 10, 880 is 2
GCD(440, 688, 10, 880) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 440, 688, 10, 880 is 2
GCD(440, 688, 10, 880) = 2
Given Input numbers are 440, 688, 10, 880
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
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
Greatest Common Divisior
We found the divisors of 440, 688, 10, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 688, 10, 880 is 2.
Therefore, GCD of numbers 440, 688, 10, 880 is 2
Given Input Data is 440, 688, 10, 880
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 10 is 2 x 5
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(440, 688) = 37840
GCD(440, 688) = ( 440 x 688 ) / 37840
GCD(440, 688) = 302720 / 37840
GCD(440, 688) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 10) = 40
GCD(8, 10) = ( 8 x 10 ) / 40
GCD(8, 10) = 80 / 40
GCD(8, 10) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 880
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 880) = 880
GCD(2, 880) = ( 2 x 880 ) / 880
GCD(2, 880) = 1760 / 880
GCD(2, 880) = 2
GCD of 440, 688, 10, 880 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 440, 688, 10, 880?
GCD of 440, 688, 10, 880 is 2
2. Where do I get the detailed procedure to find GCD of 440, 688, 10, 880?
You can find a detailed procedure to find GCD of 440, 688, 10, 880 on our page.
3. How to find GCD of 440, 688, 10, 880 on a calculator?
You can find the GCD of 440, 688, 10, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.