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, 482, 66, 513 i.e. 1 largest integer that divides all the numbers equally.
GCD of 971, 482, 66, 513 is 1
GCD(971, 482, 66, 513) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 971, 482, 66, 513 is 1
GCD(971, 482, 66, 513) = 1
Given Input numbers are 971, 482, 66, 513
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 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 513
List of positive integer divisors of 513 that divides 513 without a remainder.
1, 3, 9, 19, 27, 57, 171, 513
Greatest Common Divisior
We found the divisors of 971, 482, 66, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 482, 66, 513 is 1.
Therefore, GCD of numbers 971, 482, 66, 513 is 1
Given Input Data is 971, 482, 66, 513
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 971 is 971
Prime Factorization of 482 is 2 x 241
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 513 is 3 x 3 x 3 x 19
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, 482) = 468022
GCD(971, 482) = ( 971 x 482 ) / 468022
GCD(971, 482) = 468022 / 468022
GCD(971, 482) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 66) = 66
GCD(1, 66) = ( 1 x 66 ) / 66
GCD(1, 66) = 66 / 66
GCD(1, 66) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 513
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 513) = 513
GCD(1, 513) = ( 1 x 513 ) / 513
GCD(1, 513) = 513 / 513
GCD(1, 513) = 1
GCD of 971, 482, 66, 513 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 971, 482, 66, 513?
GCD of 971, 482, 66, 513 is 1
2. Where do I get the detailed procedure to find GCD of 971, 482, 66, 513?
You can find a detailed procedure to find GCD of 971, 482, 66, 513 on our page.
3. How to find GCD of 971, 482, 66, 513 on a calculator?
You can find the GCD of 971, 482, 66, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.