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 43, 495, 852, 896 i.e. 1 largest integer that divides all the numbers equally.
GCD of 43, 495, 852, 896 is 1
GCD(43, 495, 852, 896) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 43, 495, 852, 896 is 1
GCD(43, 495, 852, 896) = 1
Given Input numbers are 43, 495, 852, 896
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 852
List of positive integer divisors of 852 that divides 852 without a remainder.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
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
Greatest Common Divisior
We found the divisors of 43, 495, 852, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 495, 852, 896 is 1.
Therefore, GCD of numbers 43, 495, 852, 896 is 1
Given Input Data is 43, 495, 852, 896
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 43 is 43
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 852 is 2 x 2 x 3 x 71
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
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(43, 495) = 21285
GCD(43, 495) = ( 43 x 495 ) / 21285
GCD(43, 495) = 21285 / 21285
GCD(43, 495) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 852
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 852) = 852
GCD(1, 852) = ( 1 x 852 ) / 852
GCD(1, 852) = 852 / 852
GCD(1, 852) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 896) = 896
GCD(1, 896) = ( 1 x 896 ) / 896
GCD(1, 896) = 896 / 896
GCD(1, 896) = 1
GCD of 43, 495, 852, 896 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 43, 495, 852, 896?
GCD of 43, 495, 852, 896 is 1
2. Where do I get the detailed procedure to find GCD of 43, 495, 852, 896?
You can find a detailed procedure to find GCD of 43, 495, 852, 896 on our page.
3. How to find GCD of 43, 495, 852, 896 on a calculator?
You can find the GCD of 43, 495, 852, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.