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 812, 896, 267, 985 i.e. 1 largest integer that divides all the numbers equally.
GCD of 812, 896, 267, 985 is 1
GCD(812, 896, 267, 985) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 812, 896, 267, 985 is 1
GCD(812, 896, 267, 985) = 1
Given Input numbers are 812, 896, 267, 985
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
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 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Greatest Common Divisior
We found the divisors of 812, 896, 267, 985 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 812, 896, 267, 985 is 1.
Therefore, GCD of numbers 812, 896, 267, 985 is 1
Given Input Data is 812, 896, 267, 985
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 267 is 3 x 89
Prime Factorization of 985 is 5 x 197
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(812, 896) = 25984
GCD(812, 896) = ( 812 x 896 ) / 25984
GCD(812, 896) = 727552 / 25984
GCD(812, 896) = 28
Step2:
Here we consider the GCD from the above i.e. 28 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(28, 267) = 7476
GCD(28, 267) = ( 28 x 267 ) / 7476
GCD(28, 267) = 7476 / 7476
GCD(28, 267) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
GCD(1, 985) = 985 / 985
GCD(1, 985) = 1
GCD of 812, 896, 267, 985 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 812, 896, 267, 985?
GCD of 812, 896, 267, 985 is 1
2. Where do I get the detailed procedure to find GCD of 812, 896, 267, 985?
You can find a detailed procedure to find GCD of 812, 896, 267, 985 on our page.
3. How to find GCD of 812, 896, 267, 985 on a calculator?
You can find the GCD of 812, 896, 267, 985 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.