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 495, 972, 871, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 495, 972, 871, 646 is 1
GCD(495, 972, 871, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 495, 972, 871, 646 is 1
GCD(495, 972, 871, 646) = 1
Given Input numbers are 495, 972, 871, 646
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 495, 972, 871, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 972, 871, 646 is 1.
Therefore, GCD of numbers 495, 972, 871, 646 is 1
Given Input Data is 495, 972, 871, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 871 is 13 x 67
Prime Factorization of 646 is 2 x 17 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(495, 972) = 53460
GCD(495, 972) = ( 495 x 972 ) / 53460
GCD(495, 972) = 481140 / 53460
GCD(495, 972) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 871
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 871) = 7839
GCD(9, 871) = ( 9 x 871 ) / 7839
GCD(9, 871) = 7839 / 7839
GCD(9, 871) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
GCD of 495, 972, 871, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 495, 972, 871, 646?
GCD of 495, 972, 871, 646 is 1
2. Where do I get the detailed procedure to find GCD of 495, 972, 871, 646?
You can find a detailed procedure to find GCD of 495, 972, 871, 646 on our page.
3. How to find GCD of 495, 972, 871, 646 on a calculator?
You can find the GCD of 495, 972, 871, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.