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 296, 348, 27, 125 i.e. 1 largest integer that divides all the numbers equally.
GCD of 296, 348, 27, 125 is 1
GCD(296, 348, 27, 125) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 296, 348, 27, 125 is 1
GCD(296, 348, 27, 125) = 1
Given Input numbers are 296, 348, 27, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
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 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 296, 348, 27, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 348, 27, 125 is 1.
Therefore, GCD of numbers 296, 348, 27, 125 is 1
Given Input Data is 296, 348, 27, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 348 is 2 x 2 x 3 x 29
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 125 is 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
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(296, 348) = 25752
GCD(296, 348) = ( 296 x 348 ) / 25752
GCD(296, 348) = 103008 / 25752
GCD(296, 348) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 27) = 108
GCD(4, 27) = ( 4 x 27 ) / 108
GCD(4, 27) = 108 / 108
GCD(4, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 125) = 125
GCD(1, 125) = ( 1 x 125 ) / 125
GCD(1, 125) = 125 / 125
GCD(1, 125) = 1
GCD of 296, 348, 27, 125 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 296, 348, 27, 125?
GCD of 296, 348, 27, 125 is 1
2. Where do I get the detailed procedure to find GCD of 296, 348, 27, 125?
You can find a detailed procedure to find GCD of 296, 348, 27, 125 on our page.
3. How to find GCD of 296, 348, 27, 125 on a calculator?
You can find the GCD of 296, 348, 27, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.