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 971, 471, 864, 289 i.e. 1 largest integer that divides all the numbers equally.
GCD of 971, 471, 864, 289 is 1
GCD(971, 471, 864, 289) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 971, 471, 864, 289 is 1
GCD(971, 471, 864, 289) = 1
Given Input numbers are 971, 471, 864, 289
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 864
List of positive integer divisors of 864 that divides 864 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Greatest Common Divisior
We found the divisors of 971, 471, 864, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 471, 864, 289 is 1.
Therefore, GCD of numbers 971, 471, 864, 289 is 1
Given Input Data is 971, 471, 864, 289
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 971 is 971
Prime Factorization of 471 is 3 x 157
Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 289 is 17 x 17
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(971, 471) = 457341
GCD(971, 471) = ( 971 x 471 ) / 457341
GCD(971, 471) = 457341 / 457341
GCD(971, 471) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 864
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 864) = 864
GCD(1, 864) = ( 1 x 864 ) / 864
GCD(1, 864) = 864 / 864
GCD(1, 864) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
GCD of 971, 471, 864, 289 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 971, 471, 864, 289?
GCD of 971, 471, 864, 289 is 1
2. Where do I get the detailed procedure to find GCD of 971, 471, 864, 289?
You can find a detailed procedure to find GCD of 971, 471, 864, 289 on our page.
3. How to find GCD of 971, 471, 864, 289 on a calculator?
You can find the GCD of 971, 471, 864, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.