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 96, 349, 264, 273 i.e. 1 largest integer that divides all the numbers equally.
GCD of 96, 349, 264, 273 is 1
GCD(96, 349, 264, 273) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 349, 264, 273 is 1
GCD(96, 349, 264, 273) = 1
Given Input numbers are 96, 349, 264, 273
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
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 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 96, 349, 264, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 349, 264, 273 is 1.
Therefore, GCD of numbers 96, 349, 264, 273 is 1
Given Input Data is 96, 349, 264, 273
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 349 is 349
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
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(96, 349) = 33504
GCD(96, 349) = ( 96 x 349 ) / 33504
GCD(96, 349) = 33504 / 33504
GCD(96, 349) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 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 96, 349, 264, 273 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 349, 264, 273?
GCD of 96, 349, 264, 273 is 1
2. Where do I get the detailed procedure to find GCD of 96, 349, 264, 273?
You can find a detailed procedure to find GCD of 96, 349, 264, 273 on our page.
3. How to find GCD of 96, 349, 264, 273 on a calculator?
You can find the GCD of 96, 349, 264, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.