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 221, 264, 82, 175 i.e. 1 largest integer that divides all the numbers equally.
GCD of 221, 264, 82, 175 is 1
GCD(221, 264, 82, 175) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 221, 264, 82, 175 is 1
GCD(221, 264, 82, 175) = 1
Given Input numbers are 221, 264, 82, 175
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 221
List of positive integer divisors of 221 that divides 221 without a remainder.
1, 13, 17, 221
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Greatest Common Divisior
We found the divisors of 221, 264, 82, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 264, 82, 175 is 1.
Therefore, GCD of numbers 221, 264, 82, 175 is 1
Given Input Data is 221, 264, 82, 175
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 221 is 13 x 17
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 82 is 2 x 41
Prime Factorization of 175 is 5 x 5 x 7
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(221, 264) = 58344
GCD(221, 264) = ( 221 x 264 ) / 58344
GCD(221, 264) = 58344 / 58344
GCD(221, 264) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
GCD(1, 175) = 175 / 175
GCD(1, 175) = 1
GCD of 221, 264, 82, 175 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 221, 264, 82, 175?
GCD of 221, 264, 82, 175 is 1
2. Where do I get the detailed procedure to find GCD of 221, 264, 82, 175?
You can find a detailed procedure to find GCD of 221, 264, 82, 175 on our page.
3. How to find GCD of 221, 264, 82, 175 on a calculator?
You can find the GCD of 221, 264, 82, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.