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 430, 675, 388, 128 i.e. 1 largest integer that divides all the numbers equally.
GCD of 430, 675, 388, 128 is 1
GCD(430, 675, 388, 128) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 430, 675, 388, 128 is 1
GCD(430, 675, 388, 128) = 1
Given Input numbers are 430, 675, 388, 128
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 430
List of positive integer divisors of 430 that divides 430 without a remainder.
1, 2, 5, 10, 43, 86, 215, 430
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 128
List of positive integer divisors of 128 that divides 128 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128
Greatest Common Divisior
We found the divisors of 430, 675, 388, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 430, 675, 388, 128 is 1.
Therefore, GCD of numbers 430, 675, 388, 128 is 1
Given Input Data is 430, 675, 388, 128
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 430 is 2 x 5 x 43
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
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(430, 675) = 58050
GCD(430, 675) = ( 430 x 675 ) / 58050
GCD(430, 675) = 290250 / 58050
GCD(430, 675) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 388
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 388) = 1940
GCD(5, 388) = ( 5 x 388 ) / 1940
GCD(5, 388) = 1940 / 1940
GCD(5, 388) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 128
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 128) = 128
GCD(1, 128) = ( 1 x 128 ) / 128
GCD(1, 128) = 128 / 128
GCD(1, 128) = 1
GCD of 430, 675, 388, 128 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 430, 675, 388, 128?
GCD of 430, 675, 388, 128 is 1
2. Where do I get the detailed procedure to find GCD of 430, 675, 388, 128?
You can find a detailed procedure to find GCD of 430, 675, 388, 128 on our page.
3. How to find GCD of 430, 675, 388, 128 on a calculator?
You can find the GCD of 430, 675, 388, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.