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 172, 495, 63, 341 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 495, 63, 341 is 1
GCD(172, 495, 63, 341) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 495, 63, 341 is 1
GCD(172, 495, 63, 341) = 1
Given Input numbers are 172, 495, 63, 341
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
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 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 341
List of positive integer divisors of 341 that divides 341 without a remainder.
1, 11, 31, 341
Greatest Common Divisior
We found the divisors of 172, 495, 63, 341 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 495, 63, 341 is 1.
Therefore, GCD of numbers 172, 495, 63, 341 is 1
Given Input Data is 172, 495, 63, 341
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 341 is 11 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(172, 495) = 85140
GCD(172, 495) = ( 172 x 495 ) / 85140
GCD(172, 495) = 85140 / 85140
GCD(172, 495) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 63
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 63) = 63
GCD(1, 63) = ( 1 x 63 ) / 63
GCD(1, 63) = 63 / 63
GCD(1, 63) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 341
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 341) = 341
GCD(1, 341) = ( 1 x 341 ) / 341
GCD(1, 341) = 341 / 341
GCD(1, 341) = 1
GCD of 172, 495, 63, 341 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 495, 63, 341?
GCD of 172, 495, 63, 341 is 1
2. Where do I get the detailed procedure to find GCD of 172, 495, 63, 341?
You can find a detailed procedure to find GCD of 172, 495, 63, 341 on our page.
3. How to find GCD of 172, 495, 63, 341 on a calculator?
You can find the GCD of 172, 495, 63, 341 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.