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 830, 476, 640, 336 i.e. 2 largest integer that divides all the numbers equally.
GCD of 830, 476, 640, 336 is 2
GCD(830, 476, 640, 336) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 830, 476, 640, 336 is 2
GCD(830, 476, 640, 336) = 2
Given Input numbers are 830, 476, 640, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 476
List of positive integer divisors of 476 that divides 476 without a remainder.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 830, 476, 640, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 476, 640, 336 is 2.
Therefore, GCD of numbers 830, 476, 640, 336 is 2
Given Input Data is 830, 476, 640, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 476 is 2 x 2 x 7 x 17
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7
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(830, 476) = 197540
GCD(830, 476) = ( 830 x 476 ) / 197540
GCD(830, 476) = 395080 / 197540
GCD(830, 476) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 640) = 640
GCD(2, 640) = ( 2 x 640 ) / 640
GCD(2, 640) = 1280 / 640
GCD(2, 640) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 336) = 336
GCD(2, 336) = ( 2 x 336 ) / 336
GCD(2, 336) = 672 / 336
GCD(2, 336) = 2
GCD of 830, 476, 640, 336 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 830, 476, 640, 336?
GCD of 830, 476, 640, 336 is 2
2. Where do I get the detailed procedure to find GCD of 830, 476, 640, 336?
You can find a detailed procedure to find GCD of 830, 476, 640, 336 on our page.
3. How to find GCD of 830, 476, 640, 336 on a calculator?
You can find the GCD of 830, 476, 640, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.