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 730, 620, 908, 880 i.e. 2 largest integer that divides all the numbers equally.
GCD of 730, 620, 908, 880 is 2
GCD(730, 620, 908, 880) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 730, 620, 908, 880 is 2
GCD(730, 620, 908, 880) = 2
Given Input numbers are 730, 620, 908, 880
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
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 730, 620, 908, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 620, 908, 880 is 2.
Therefore, GCD of numbers 730, 620, 908, 880 is 2
Given Input Data is 730, 620, 908, 880
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 908 is 2 x 2 x 227
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(730, 620) = 45260
GCD(730, 620) = ( 730 x 620 ) / 45260
GCD(730, 620) = 452600 / 45260
GCD(730, 620) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 908) = 4540
GCD(10, 908) = ( 10 x 908 ) / 4540
GCD(10, 908) = 9080 / 4540
GCD(10, 908) = 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 730, 620, 908, 880 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 730, 620, 908, 880?
GCD of 730, 620, 908, 880 is 2
2. Where do I get the detailed procedure to find GCD of 730, 620, 908, 880?
You can find a detailed procedure to find GCD of 730, 620, 908, 880 on our page.
3. How to find GCD of 730, 620, 908, 880 on a calculator?
You can find the GCD of 730, 620, 908, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.