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 386, 352, 76, 218 i.e. 2 largest integer that divides all the numbers equally.
GCD of 386, 352, 76, 218 is 2
GCD(386, 352, 76, 218) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 386, 352, 76, 218 is 2
GCD(386, 352, 76, 218) = 2
Given Input numbers are 386, 352, 76, 218
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Greatest Common Divisior
We found the divisors of 386, 352, 76, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 386, 352, 76, 218 is 2.
Therefore, GCD of numbers 386, 352, 76, 218 is 2
Given Input Data is 386, 352, 76, 218
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 386 is 2 x 193
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 218 is 2 x 109
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(386, 352) = 67936
GCD(386, 352) = ( 386 x 352 ) / 67936
GCD(386, 352) = 135872 / 67936
GCD(386, 352) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 76) = 76
GCD(2, 76) = ( 2 x 76 ) / 76
GCD(2, 76) = 152 / 76
GCD(2, 76) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 218) = 218
GCD(2, 218) = ( 2 x 218 ) / 218
GCD(2, 218) = 436 / 218
GCD(2, 218) = 2
GCD of 386, 352, 76, 218 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 386, 352, 76, 218?
GCD of 386, 352, 76, 218 is 2
2. Where do I get the detailed procedure to find GCD of 386, 352, 76, 218?
You can find a detailed procedure to find GCD of 386, 352, 76, 218 on our page.
3. How to find GCD of 386, 352, 76, 218 on a calculator?
You can find the GCD of 386, 352, 76, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.