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, 949, 155, 321 i.e. 1 largest integer that divides all the numbers equally.
GCD of 96, 949, 155, 321 is 1
GCD(96, 949, 155, 321) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 949, 155, 321 is 1
GCD(96, 949, 155, 321) = 1
Given Input numbers are 96, 949, 155, 321
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 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Greatest Common Divisior
We found the divisors of 96, 949, 155, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 949, 155, 321 is 1.
Therefore, GCD of numbers 96, 949, 155, 321 is 1
Given Input Data is 96, 949, 155, 321
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 949 is 13 x 73
Prime Factorization of 155 is 5 x 31
Prime Factorization of 321 is 3 x 107
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, 949) = 91104
GCD(96, 949) = ( 96 x 949 ) / 91104
GCD(96, 949) = 91104 / 91104
GCD(96, 949) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 155
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 155) = 155
GCD(1, 155) = ( 1 x 155 ) / 155
GCD(1, 155) = 155 / 155
GCD(1, 155) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
GCD(1, 321) = 321 / 321
GCD(1, 321) = 1
GCD of 96, 949, 155, 321 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 949, 155, 321?
GCD of 96, 949, 155, 321 is 1
2. Where do I get the detailed procedure to find GCD of 96, 949, 155, 321?
You can find a detailed procedure to find GCD of 96, 949, 155, 321 on our page.
3. How to find GCD of 96, 949, 155, 321 on a calculator?
You can find the GCD of 96, 949, 155, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.