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 802, 270, 14, 384 i.e. 2 largest integer that divides all the numbers equally.
GCD of 802, 270, 14, 384 is 2
GCD(802, 270, 14, 384) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 802, 270, 14, 384 is 2
GCD(802, 270, 14, 384) = 2
Given Input numbers are 802, 270, 14, 384
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 384
List of positive integer divisors of 384 that divides 384 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Greatest Common Divisior
We found the divisors of 802, 270, 14, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 270, 14, 384 is 2.
Therefore, GCD of numbers 802, 270, 14, 384 is 2
Given Input Data is 802, 270, 14, 384
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 802 is 2 x 401
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 14 is 2 x 7
Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(802, 270) = 108270
GCD(802, 270) = ( 802 x 270 ) / 108270
GCD(802, 270) = 216540 / 108270
GCD(802, 270) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 14) = 14
GCD(2, 14) = ( 2 x 14 ) / 14
GCD(2, 14) = 28 / 14
GCD(2, 14) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 384
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 384) = 384
GCD(2, 384) = ( 2 x 384 ) / 384
GCD(2, 384) = 768 / 384
GCD(2, 384) = 2
GCD of 802, 270, 14, 384 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 802, 270, 14, 384?
GCD of 802, 270, 14, 384 is 2
2. Where do I get the detailed procedure to find GCD of 802, 270, 14, 384?
You can find a detailed procedure to find GCD of 802, 270, 14, 384 on our page.
3. How to find GCD of 802, 270, 14, 384 on a calculator?
You can find the GCD of 802, 270, 14, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.