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 982, 934, 432, 304 i.e. 2 largest integer that divides all the numbers equally.
GCD of 982, 934, 432, 304 is 2
GCD(982, 934, 432, 304) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 982, 934, 432, 304 is 2
GCD(982, 934, 432, 304) = 2
Given Input numbers are 982, 934, 432, 304
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 982
List of positive integer divisors of 982 that divides 982 without a remainder.
1, 2, 491, 982
Divisors of 934
List of positive integer divisors of 934 that divides 934 without a remainder.
1, 2, 467, 934
Divisors of 432
List of positive integer divisors of 432 that divides 432 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
Divisors of 304
List of positive integer divisors of 304 that divides 304 without a remainder.
1, 2, 4, 8, 16, 19, 38, 76, 152, 304
Greatest Common Divisior
We found the divisors of 982, 934, 432, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 934, 432, 304 is 2.
Therefore, GCD of numbers 982, 934, 432, 304 is 2
Given Input Data is 982, 934, 432, 304
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 982 is 2 x 491
Prime Factorization of 934 is 2 x 467
Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19
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(982, 934) = 458594
GCD(982, 934) = ( 982 x 934 ) / 458594
GCD(982, 934) = 917188 / 458594
GCD(982, 934) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 432
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 432) = 432
GCD(2, 432) = ( 2 x 432 ) / 432
GCD(2, 432) = 864 / 432
GCD(2, 432) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 304
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 304) = 304
GCD(2, 304) = ( 2 x 304 ) / 304
GCD(2, 304) = 608 / 304
GCD(2, 304) = 2
GCD of 982, 934, 432, 304 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 982, 934, 432, 304?
GCD of 982, 934, 432, 304 is 2
2. Where do I get the detailed procedure to find GCD of 982, 934, 432, 304?
You can find a detailed procedure to find GCD of 982, 934, 432, 304 on our page.
3. How to find GCD of 982, 934, 432, 304 on a calculator?
You can find the GCD of 982, 934, 432, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.