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 290, 220, 430 i.e. 10 largest integer that divides all the numbers equally.
GCD of 290, 220, 430 is 10
GCD(290, 220, 430) = 10
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 290, 220, 430 is 10
GCD(290, 220, 430) = 10
Given Input numbers are 290, 220, 430
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 290
List of positive integer divisors of 290 that divides 290 without a remainder.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Greatest Common Divisior
We found the divisors of 290, 220, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 290, 220, 430 is 10.
Therefore, GCD of numbers 290, 220, 430 is 10
Given Input Data is 290, 220, 430
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 290 is 2 x 5 x 29
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 430 is 2 x 5 x 43
Highest common occurrences in the given inputs are 21 x 51
Multiplying them we get the GCD as 10
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(290, 220) = 6380
GCD(290, 220) = ( 290 x 220 ) / 6380
GCD(290, 220) = 63800 / 6380
GCD(290, 220) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 430
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 430) = 430
GCD(10, 430) = ( 10 x 430 ) / 430
GCD(10, 430) = 4300 / 430
GCD(10, 430) = 10
GCD of 290, 220, 430 is 10
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 290, 220, 430?
GCD of 290, 220, 430 is 10
2. Where do I get the detailed procedure to find GCD of 290, 220, 430?
You can find a detailed procedure to find GCD of 290, 220, 430 on our page.
3. How to find GCD of 290, 220, 430 on a calculator?
You can find the GCD of 290, 220, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.