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 399, 435, 276 i.e. 3 largest integer that divides all the numbers equally.
GCD of 399, 435, 276 is 3
GCD(399, 435, 276) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 399, 435, 276 is 3
GCD(399, 435, 276) = 3
Given Input numbers are 399, 435, 276
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Greatest Common Divisior
We found the divisors of 399, 435, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 435, 276 is 3.
Therefore, GCD of numbers 399, 435, 276 is 3
Given Input Data is 399, 435, 276
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 276 is 2 x 2 x 3 x 23
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(399, 435) = 57855
GCD(399, 435) = ( 399 x 435 ) / 57855
GCD(399, 435) = 173565 / 57855
GCD(399, 435) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 276) = 276
GCD(3, 276) = ( 3 x 276 ) / 276
GCD(3, 276) = 828 / 276
GCD(3, 276) = 3
GCD of 399, 435, 276 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 399, 435, 276?
GCD of 399, 435, 276 is 3
2. Where do I get the detailed procedure to find GCD of 399, 435, 276?
You can find a detailed procedure to find GCD of 399, 435, 276 on our page.
3. How to find GCD of 399, 435, 276 on a calculator?
You can find the GCD of 399, 435, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.