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 920, 575, 280, 230 i.e. 5 largest integer that divides all the numbers equally.
GCD of 920, 575, 280, 230 is 5
GCD(920, 575, 280, 230) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 920, 575, 280, 230 is 5
GCD(920, 575, 280, 230) = 5
Given Input numbers are 920, 575, 280, 230
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 230
List of positive integer divisors of 230 that divides 230 without a remainder.
1, 2, 5, 10, 23, 46, 115, 230
Greatest Common Divisior
We found the divisors of 920, 575, 280, 230 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 575, 280, 230 is 5.
Therefore, GCD of numbers 920, 575, 280, 230 is 5
Given Input Data is 920, 575, 280, 230
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 230 is 2 x 5 x 23
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(920, 575) = 4600
GCD(920, 575) = ( 920 x 575 ) / 4600
GCD(920, 575) = 529000 / 4600
GCD(920, 575) = 115
Step2:
Here we consider the GCD from the above i.e. 115 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(115, 280) = 6440
GCD(115, 280) = ( 115 x 280 ) / 6440
GCD(115, 280) = 32200 / 6440
GCD(115, 280) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 230
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 230) = 230
GCD(5, 230) = ( 5 x 230 ) / 230
GCD(5, 230) = 1150 / 230
GCD(5, 230) = 5
GCD of 920, 575, 280, 230 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 920, 575, 280, 230?
GCD of 920, 575, 280, 230 is 5
2. Where do I get the detailed procedure to find GCD of 920, 575, 280, 230?
You can find a detailed procedure to find GCD of 920, 575, 280, 230 on our page.
3. How to find GCD of 920, 575, 280, 230 on a calculator?
You can find the GCD of 920, 575, 280, 230 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.