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 171, 495, 343, 651 i.e. 1 largest integer that divides all the numbers equally.
GCD of 171, 495, 343, 651 is 1
GCD(171, 495, 343, 651) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 171, 495, 343, 651 is 1
GCD(171, 495, 343, 651) = 1
Given Input numbers are 171, 495, 343, 651
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
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 343
List of positive integer divisors of 343 that divides 343 without a remainder.
1, 7, 49, 343
Divisors of 651
List of positive integer divisors of 651 that divides 651 without a remainder.
1, 3, 7, 21, 31, 93, 217, 651
Greatest Common Divisior
We found the divisors of 171, 495, 343, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 495, 343, 651 is 1.
Therefore, GCD of numbers 171, 495, 343, 651 is 1
Given Input Data is 171, 495, 343, 651
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 343 is 7 x 7 x 7
Prime Factorization of 651 is 3 x 7 x 31
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(171, 495) = 9405
GCD(171, 495) = ( 171 x 495 ) / 9405
GCD(171, 495) = 84645 / 9405
GCD(171, 495) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 343
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 343) = 3087
GCD(9, 343) = ( 9 x 343 ) / 3087
GCD(9, 343) = 3087 / 3087
GCD(9, 343) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 651
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 651) = 651
GCD(1, 651) = ( 1 x 651 ) / 651
GCD(1, 651) = 651 / 651
GCD(1, 651) = 1
GCD of 171, 495, 343, 651 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 171, 495, 343, 651?
GCD of 171, 495, 343, 651 is 1
2. Where do I get the detailed procedure to find GCD of 171, 495, 343, 651?
You can find a detailed procedure to find GCD of 171, 495, 343, 651 on our page.
3. How to find GCD of 171, 495, 343, 651 on a calculator?
You can find the GCD of 171, 495, 343, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.