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, 314, 67, 633 i.e. 1 largest integer that divides all the numbers equally.
GCD of 172, 314, 67, 633 is 1
GCD(172, 314, 67, 633) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 172, 314, 67, 633 is 1
GCD(172, 314, 67, 633) = 1
Given Input numbers are 172, 314, 67, 633
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 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Greatest Common Divisior
We found the divisors of 172, 314, 67, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 314, 67, 633 is 1.
Therefore, GCD of numbers 172, 314, 67, 633 is 1
Given Input Data is 172, 314, 67, 633
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 314 is 2 x 157
Prime Factorization of 67 is 67
Prime Factorization of 633 is 3 x 211
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, 314) = 27004
GCD(172, 314) = ( 172 x 314 ) / 27004
GCD(172, 314) = 54008 / 27004
GCD(172, 314) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 67) = 134
GCD(2, 67) = ( 2 x 67 ) / 134
GCD(2, 67) = 134 / 134
GCD(2, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 633
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 633) = 633
GCD(1, 633) = ( 1 x 633 ) / 633
GCD(1, 633) = 633 / 633
GCD(1, 633) = 1
GCD of 172, 314, 67, 633 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 172, 314, 67, 633?
GCD of 172, 314, 67, 633 is 1
2. Where do I get the detailed procedure to find GCD of 172, 314, 67, 633?
You can find a detailed procedure to find GCD of 172, 314, 67, 633 on our page.
3. How to find GCD of 172, 314, 67, 633 on a calculator?
You can find the GCD of 172, 314, 67, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.