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 316, 292, 96, 440 i.e. 4 largest integer that divides all the numbers equally.
GCD of 316, 292, 96, 440 is 4
GCD(316, 292, 96, 440) = 4
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 292, 96, 440 is 4
GCD(316, 292, 96, 440) = 4
Given Input numbers are 316, 292, 96, 440
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
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 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greatest Common Divisior
We found the divisors of 316, 292, 96, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 292, 96, 440 is 4.
Therefore, GCD of numbers 316, 292, 96, 440 is 4
Given Input Data is 316, 292, 96, 440
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Highest common occurrences in the given inputs are 22
Multiplying them we get the GCD as 4
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(316, 292) = 23068
GCD(316, 292) = ( 316 x 292 ) / 23068
GCD(316, 292) = 92272 / 23068
GCD(316, 292) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 96) = 96
GCD(4, 96) = ( 4 x 96 ) / 96
GCD(4, 96) = 384 / 96
GCD(4, 96) = 4
Step3:
Here we consider the GCD from the above i.e. 4 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 440) = 440
GCD(4, 440) = ( 4 x 440 ) / 440
GCD(4, 440) = 1760 / 440
GCD(4, 440) = 4
GCD of 316, 292, 96, 440 is 4
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 292, 96, 440?
GCD of 316, 292, 96, 440 is 4
2. Where do I get the detailed procedure to find GCD of 316, 292, 96, 440?
You can find a detailed procedure to find GCD of 316, 292, 96, 440 on our page.
3. How to find GCD of 316, 292, 96, 440 on a calculator?
You can find the GCD of 316, 292, 96, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.