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 182, 144, 553 i.e. 1 largest integer that divides all the numbers equally.
GCD of 182, 144, 553 is 1
GCD(182, 144, 553) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 182, 144, 553 is 1
GCD(182, 144, 553) = 1
Given Input numbers are 182, 144, 553
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 182
List of positive integer divisors of 182 that divides 182 without a remainder.
1, 2, 7, 13, 14, 26, 91, 182
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Greatest Common Divisior
We found the divisors of 182, 144, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 144, 553 is 1.
Therefore, GCD of numbers 182, 144, 553 is 1
Given Input Data is 182, 144, 553
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 182 is 2 x 7 x 13
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 553 is 7 x 79
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(182, 144) = 13104
GCD(182, 144) = ( 182 x 144 ) / 13104
GCD(182, 144) = 26208 / 13104
GCD(182, 144) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 553) = 1106
GCD(2, 553) = ( 2 x 553 ) / 1106
GCD(2, 553) = 1106 / 1106
GCD(2, 553) = 1
GCD of 182, 144, 553 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 182, 144, 553?
GCD of 182, 144, 553 is 1
2. Where do I get the detailed procedure to find GCD of 182, 144, 553?
You can find a detailed procedure to find GCD of 182, 144, 553 on our page.
3. How to find GCD of 182, 144, 553 on a calculator?
You can find the GCD of 182, 144, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.