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 348, 238, 32, 316 i.e. 2 largest integer that divides all the numbers equally.
GCD of 348, 238, 32, 316 is 2
GCD(348, 238, 32, 316) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 348, 238, 32, 316 is 2
GCD(348, 238, 32, 316) = 2
Given Input numbers are 348, 238, 32, 316
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 348
List of positive integer divisors of 348 that divides 348 without a remainder.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 238
List of positive integer divisors of 238 that divides 238 without a remainder.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Greatest Common Divisior
We found the divisors of 348, 238, 32, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 238, 32, 316 is 2.
Therefore, GCD of numbers 348, 238, 32, 316 is 2
Given Input Data is 348, 238, 32, 316
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 238 is 2 x 7 x 17
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 316 is 2 x 2 x 79
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(348, 238) = 41412
GCD(348, 238) = ( 348 x 238 ) / 41412
GCD(348, 238) = 82824 / 41412
GCD(348, 238) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 32) = 32
GCD(2, 32) = ( 2 x 32 ) / 32
GCD(2, 32) = 64 / 32
GCD(2, 32) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 316
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
GCD(2, 316) = 632 / 316
GCD(2, 316) = 2
GCD of 348, 238, 32, 316 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 348, 238, 32, 316?
GCD of 348, 238, 32, 316 is 2
2. Where do I get the detailed procedure to find GCD of 348, 238, 32, 316?
You can find a detailed procedure to find GCD of 348, 238, 32, 316 on our page.
3. How to find GCD of 348, 238, 32, 316 on a calculator?
You can find the GCD of 348, 238, 32, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.