GCD of 296, 348, 387 Calculator

Given Input numbers are 296, 348, 387

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Greatest Common Divisior

We found the divisors of 296, 348, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 348, 387 is 1.

Therefore, GCD of numbers 296, 348, 387 is 1

Given Input Data is 296, 348, 387

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 387 is 3 x 3 x 43

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 387

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 387) = 1548

GCD(4, 387) = ( 4 x 387 ) / 1548

GCD(4, 387) = 1548 / 1548

GCD(4, 387) = 1

GCD of 296, 348, 387 is 1

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1. What is the GCD of 296, 348, 387?

GCD of 296, 348, 387 is 1

2. Where do I get the detailed procedure to find GCD of 296, 348, 387?

You can find a detailed procedure to find GCD of 296, 348, 387 on our page.

3. How to find GCD of 296, 348, 387 on a calculator?

You can find the GCD of 296, 348, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.