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, 321, 858, 288 i.e. 1 largest integer that divides all the numbers equally.
GCD of 971, 321, 858, 288 is 1
GCD(971, 321, 858, 288) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 971, 321, 858, 288 is 1
GCD(971, 321, 858, 288) = 1
Given Input numbers are 971, 321, 858, 288
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 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Greatest Common Divisior
We found the divisors of 971, 321, 858, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 321, 858, 288 is 1.
Therefore, GCD of numbers 971, 321, 858, 288 is 1
Given Input Data is 971, 321, 858, 288
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 971 is 971
Prime Factorization of 321 is 3 x 107
Prime Factorization of 858 is 2 x 3 x 11 x 13
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 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(971, 321) = 311691
GCD(971, 321) = ( 971 x 321 ) / 311691
GCD(971, 321) = 311691 / 311691
GCD(971, 321) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 858
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 858) = 858
GCD(1, 858) = ( 1 x 858 ) / 858
GCD(1, 858) = 858 / 858
GCD(1, 858) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
GCD of 971, 321, 858, 288 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 971, 321, 858, 288?
GCD of 971, 321, 858, 288 is 1
2. Where do I get the detailed procedure to find GCD of 971, 321, 858, 288?
You can find a detailed procedure to find GCD of 971, 321, 858, 288 on our page.
3. How to find GCD of 971, 321, 858, 288 on a calculator?
You can find the GCD of 971, 321, 858, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.