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, 921, 480, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 96, 921, 480, 170 is 1
GCD(96, 921, 480, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 921, 480, 170 is 1
GCD(96, 921, 480, 170) = 1
Given Input numbers are 96, 921, 480, 170
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 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 96, 921, 480, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 921, 480, 170 is 1.
Therefore, GCD of numbers 96, 921, 480, 170 is 1
Given Input Data is 96, 921, 480, 170
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 921 is 3 x 307
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 170 is 2 x 5 x 17
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, 921) = 29472
GCD(96, 921) = ( 96 x 921 ) / 29472
GCD(96, 921) = 88416 / 29472
GCD(96, 921) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 480
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 480) = 480
GCD(3, 480) = ( 3 x 480 ) / 480
GCD(3, 480) = 1440 / 480
GCD(3, 480) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 170) = 510
GCD(3, 170) = ( 3 x 170 ) / 510
GCD(3, 170) = 510 / 510
GCD(3, 170) = 1
GCD of 96, 921, 480, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 921, 480, 170?
GCD of 96, 921, 480, 170 is 1
2. Where do I get the detailed procedure to find GCD of 96, 921, 480, 170?
You can find a detailed procedure to find GCD of 96, 921, 480, 170 on our page.
3. How to find GCD of 96, 921, 480, 170 on a calculator?
You can find the GCD of 96, 921, 480, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.