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 190, 500, 128, 429 i.e. 1 largest integer that divides all the numbers equally.
GCD of 190, 500, 128, 429 is 1
GCD(190, 500, 128, 429) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 190, 500, 128, 429 is 1
GCD(190, 500, 128, 429) = 1
Given Input numbers are 190, 500, 128, 429
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Greatest Common Divisior
We found the divisors of 190, 500, 128, 429 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 500, 128, 429 is 1.
Therefore, GCD of numbers 190, 500, 128, 429 is 1
Given Input Data is 190, 500, 128, 429
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 429 is 3 x 11 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(190, 500) = 9500
GCD(190, 500) = ( 190 x 500 ) / 9500
GCD(190, 500) = 95000 / 9500
GCD(190, 500) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 128) = 640
GCD(10, 128) = ( 10 x 128 ) / 640
GCD(10, 128) = 1280 / 640
GCD(10, 128) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 429
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 429) = 858
GCD(2, 429) = ( 2 x 429 ) / 858
GCD(2, 429) = 858 / 858
GCD(2, 429) = 1
GCD of 190, 500, 128, 429 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 190, 500, 128, 429?
GCD of 190, 500, 128, 429 is 1
2. Where do I get the detailed procedure to find GCD of 190, 500, 128, 429?
You can find a detailed procedure to find GCD of 190, 500, 128, 429 on our page.
3. How to find GCD of 190, 500, 128, 429 on a calculator?
You can find the GCD of 190, 500, 128, 429 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.