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 867, 471, 896, 293 i.e. 1 largest integer that divides all the numbers equally.
GCD of 867, 471, 896, 293 is 1
GCD(867, 471, 896, 293) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 867, 471, 896, 293 is 1
GCD(867, 471, 896, 293) = 1
Given Input numbers are 867, 471, 896, 293
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
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 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Greatest Common Divisior
We found the divisors of 867, 471, 896, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 471, 896, 293 is 1.
Therefore, GCD of numbers 867, 471, 896, 293 is 1
Given Input Data is 867, 471, 896, 293
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 867 is 3 x 17 x 17
Prime Factorization of 471 is 3 x 157
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 293 is 293
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(867, 471) = 136119
GCD(867, 471) = ( 867 x 471 ) / 136119
GCD(867, 471) = 408357 / 136119
GCD(867, 471) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 896) = 2688
GCD(3, 896) = ( 3 x 896 ) / 2688
GCD(3, 896) = 2688 / 2688
GCD(3, 896) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 293
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 293) = 293
GCD(1, 293) = ( 1 x 293 ) / 293
GCD(1, 293) = 293 / 293
GCD(1, 293) = 1
GCD of 867, 471, 896, 293 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 867, 471, 896, 293?
GCD of 867, 471, 896, 293 is 1
2. Where do I get the detailed procedure to find GCD of 867, 471, 896, 293?
You can find a detailed procedure to find GCD of 867, 471, 896, 293 on our page.
3. How to find GCD of 867, 471, 896, 293 on a calculator?
You can find the GCD of 867, 471, 896, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.