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 66, 917, 429, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 66, 917, 429, 161 is 1
GCD(66, 917, 429, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 66, 917, 429, 161 is 1
GCD(66, 917, 429, 161) = 1
Given Input numbers are 66, 917, 429, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 917
List of positive integer divisors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
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 66, 917, 429, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 917, 429, 161 is 1.
Therefore, GCD of numbers 66, 917, 429, 161 is 1
Given Input Data is 66, 917, 429, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 917 is 7 x 131
Prime Factorization of 429 is 3 x 11 x 13
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(66, 917) = 60522
GCD(66, 917) = ( 66 x 917 ) / 60522
GCD(66, 917) = 60522 / 60522
GCD(66, 917) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 429
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 429) = 429
GCD(1, 429) = ( 1 x 429 ) / 429
GCD(1, 429) = 429 / 429
GCD(1, 429) = 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 66, 917, 429, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 66, 917, 429, 161?
GCD of 66, 917, 429, 161 is 1
2. Where do I get the detailed procedure to find GCD of 66, 917, 429, 161?
You can find a detailed procedure to find GCD of 66, 917, 429, 161 on our page.
3. How to find GCD of 66, 917, 429, 161 on a calculator?
You can find the GCD of 66, 917, 429, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.