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 29, 921, 172, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 921, 172, 161 is 1
GCD(29, 921, 172, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 921, 172, 161 is 1
GCD(29, 921, 172, 161) = 1
Given Input numbers are 29, 921, 172, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Greatest Common Divisior
We found the divisors of 29, 921, 172, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 921, 172, 161 is 1.
Therefore, GCD of numbers 29, 921, 172, 161 is 1
Given Input Data is 29, 921, 172, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 921 is 3 x 307
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 161 is 7 x 23
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(29, 921) = 26709
GCD(29, 921) = ( 29 x 921 ) / 26709
GCD(29, 921) = 26709 / 26709
GCD(29, 921) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
GCD of 29, 921, 172, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 921, 172, 161?
GCD of 29, 921, 172, 161 is 1
2. Where do I get the detailed procedure to find GCD of 29, 921, 172, 161?
You can find a detailed procedure to find GCD of 29, 921, 172, 161 on our page.
3. How to find GCD of 29, 921, 172, 161 on a calculator?
You can find the GCD of 29, 921, 172, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.