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 529, 272, 288, 178 i.e. 1 largest integer that divides all the numbers equally.
GCD of 529, 272, 288, 178 is 1
GCD(529, 272, 288, 178) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 529, 272, 288, 178 is 1
GCD(529, 272, 288, 178) = 1
Given Input numbers are 529, 272, 288, 178
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 272
List of positive integer divisors of 272 that divides 272 without a remainder.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 288
List of positive integer divisors of 288 that divides 288 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Greatest Common Divisior
We found the divisors of 529, 272, 288, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 529, 272, 288, 178 is 1.
Therefore, GCD of numbers 529, 272, 288, 178 is 1
Given Input Data is 529, 272, 288, 178
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 529 is 23 x 23
Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17
Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 178 is 2 x 89
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(529, 272) = 143888
GCD(529, 272) = ( 529 x 272 ) / 143888
GCD(529, 272) = 143888 / 143888
GCD(529, 272) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 288
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 288) = 288
GCD(1, 288) = ( 1 x 288 ) / 288
GCD(1, 288) = 288 / 288
GCD(1, 288) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 178
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 178) = 178
GCD(1, 178) = ( 1 x 178 ) / 178
GCD(1, 178) = 178 / 178
GCD(1, 178) = 1
GCD of 529, 272, 288, 178 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 529, 272, 288, 178?
GCD of 529, 272, 288, 178 is 1
2. Where do I get the detailed procedure to find GCD of 529, 272, 288, 178?
You can find a detailed procedure to find GCD of 529, 272, 288, 178 on our page.
3. How to find GCD of 529, 272, 288, 178 on a calculator?
You can find the GCD of 529, 272, 288, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.