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 665, 725, 880, 676 i.e. 1 largest integer that divides all the numbers equally.
GCD of 665, 725, 880, 676 is 1
GCD(665, 725, 880, 676) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 665, 725, 880, 676 is 1
GCD(665, 725, 880, 676) = 1
Given Input numbers are 665, 725, 880, 676
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
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 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Greatest Common Divisior
We found the divisors of 665, 725, 880, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 725, 880, 676 is 1.
Therefore, GCD of numbers 665, 725, 880, 676 is 1
Given Input Data is 665, 725, 880, 676
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 676 is 2 x 2 x 13 x 13
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(665, 725) = 96425
GCD(665, 725) = ( 665 x 725 ) / 96425
GCD(665, 725) = 482125 / 96425
GCD(665, 725) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 880
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 880) = 880
GCD(5, 880) = ( 5 x 880 ) / 880
GCD(5, 880) = 4400 / 880
GCD(5, 880) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 676
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 676) = 3380
GCD(5, 676) = ( 5 x 676 ) / 3380
GCD(5, 676) = 3380 / 3380
GCD(5, 676) = 1
GCD of 665, 725, 880, 676 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 665, 725, 880, 676?
GCD of 665, 725, 880, 676 is 1
2. Where do I get the detailed procedure to find GCD of 665, 725, 880, 676?
You can find a detailed procedure to find GCD of 665, 725, 880, 676 on our page.
3. How to find GCD of 665, 725, 880, 676 on a calculator?
You can find the GCD of 665, 725, 880, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.