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 40, 986, 834, 302 i.e. 2 largest integer that divides all the numbers equally.
GCD of 40, 986, 834, 302 is 2
GCD(40, 986, 834, 302) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 986, 834, 302 is 2
GCD(40, 986, 834, 302) = 2
Given Input numbers are 40, 986, 834, 302
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 986
List of positive integer divisors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Greatest Common Divisior
We found the divisors of 40, 986, 834, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 986, 834, 302 is 2.
Therefore, GCD of numbers 40, 986, 834, 302 is 2
Given Input Data is 40, 986, 834, 302
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 986 is 2 x 17 x 29
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 302 is 2 x 151
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(40, 986) = 19720
GCD(40, 986) = ( 40 x 986 ) / 19720
GCD(40, 986) = 39440 / 19720
GCD(40, 986) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 834
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 834) = 834
GCD(2, 834) = ( 2 x 834 ) / 834
GCD(2, 834) = 1668 / 834
GCD(2, 834) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 302
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 302) = 302
GCD(2, 302) = ( 2 x 302 ) / 302
GCD(2, 302) = 604 / 302
GCD(2, 302) = 2
GCD of 40, 986, 834, 302 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 986, 834, 302?
GCD of 40, 986, 834, 302 is 2
2. Where do I get the detailed procedure to find GCD of 40, 986, 834, 302?
You can find a detailed procedure to find GCD of 40, 986, 834, 302 on our page.
3. How to find GCD of 40, 986, 834, 302 on a calculator?
You can find the GCD of 40, 986, 834, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.