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 896, 523, 128, 432 i.e. 1 largest integer that divides all the numbers equally.
GCD of 896, 523, 128, 432 is 1
GCD(896, 523, 128, 432) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 896, 523, 128, 432 is 1
GCD(896, 523, 128, 432) = 1
Given Input numbers are 896, 523, 128, 432
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 523
List of positive integer divisors of 523 that divides 523 without a remainder.
1, 523
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 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Greatest Common Divisior
We found the divisors of 896, 523, 128, 432 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 523, 128, 432 is 1.
Therefore, GCD of numbers 896, 523, 128, 432 is 1
Given Input Data is 896, 523, 128, 432
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 523 is 523
Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
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(896, 523) = 468608
GCD(896, 523) = ( 896 x 523 ) / 468608
GCD(896, 523) = 468608 / 468608
GCD(896, 523) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 432) = 432
GCD(1, 432) = ( 1 x 432 ) / 432
GCD(1, 432) = 432 / 432
GCD(1, 432) = 1
GCD of 896, 523, 128, 432 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 896, 523, 128, 432?
GCD of 896, 523, 128, 432 is 1
2. Where do I get the detailed procedure to find GCD of 896, 523, 128, 432?
You can find a detailed procedure to find GCD of 896, 523, 128, 432 on our page.
3. How to find GCD of 896, 523, 128, 432 on a calculator?
You can find the GCD of 896, 523, 128, 432 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.