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, 649, 75, 273 i.e. 1 largest integer that divides all the numbers equally.
GCD of 182, 649, 75, 273 is 1
GCD(182, 649, 75, 273) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 182, 649, 75, 273 is 1
GCD(182, 649, 75, 273) = 1
Given Input numbers are 182, 649, 75, 273
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 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Greatest Common Divisior
We found the divisors of 182, 649, 75, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 182, 649, 75, 273 is 1.
Therefore, GCD of numbers 182, 649, 75, 273 is 1
Given Input Data is 182, 649, 75, 273
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 649 is 11 x 59
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 273 is 3 x 7 x 13
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, 649) = 118118
GCD(182, 649) = ( 182 x 649 ) / 118118
GCD(182, 649) = 118118 / 118118
GCD(182, 649) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
GCD(1, 273) = 273 / 273
GCD(1, 273) = 1
GCD of 182, 649, 75, 273 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 182, 649, 75, 273?
GCD of 182, 649, 75, 273 is 1
2. Where do I get the detailed procedure to find GCD of 182, 649, 75, 273?
You can find a detailed procedure to find GCD of 182, 649, 75, 273 on our page.
3. How to find GCD of 182, 649, 75, 273 on a calculator?
You can find the GCD of 182, 649, 75, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.