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, 166, 730, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 96, 166, 730, 279 is 1
GCD(96, 166, 730, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 166, 730, 279 is 1
GCD(96, 166, 730, 279) = 1
Given Input numbers are 96, 166, 730, 279
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 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 96, 166, 730, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 166, 730, 279 is 1.
Therefore, GCD of numbers 96, 166, 730, 279 is 1
Given Input Data is 96, 166, 730, 279
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 166 is 2 x 83
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 279 is 3 x 3 x 31
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, 166) = 7968
GCD(96, 166) = ( 96 x 166 ) / 7968
GCD(96, 166) = 15936 / 7968
GCD(96, 166) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 730) = 730
GCD(2, 730) = ( 2 x 730 ) / 730
GCD(2, 730) = 1460 / 730
GCD(2, 730) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 279) = 558
GCD(2, 279) = ( 2 x 279 ) / 558
GCD(2, 279) = 558 / 558
GCD(2, 279) = 1
GCD of 96, 166, 730, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 166, 730, 279?
GCD of 96, 166, 730, 279 is 1
2. Where do I get the detailed procedure to find GCD of 96, 166, 730, 279?
You can find a detailed procedure to find GCD of 96, 166, 730, 279 on our page.
3. How to find GCD of 96, 166, 730, 279 on a calculator?
You can find the GCD of 96, 166, 730, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.