GCD of 24, 138, 914, 391 Calculator

Given Input numbers are 24, 138, 914, 391

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 24, 138, 914, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 138, 914, 391 is 1.

Therefore, GCD of numbers 24, 138, 914, 391 is 1

Given Input Data is 24, 138, 914, 391

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 914 is 2 x 457

Prime Factorization of 391 is 17 x 23

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(24, 138) = 552

GCD(24, 138) = ( 24 x 138 ) / 552

GCD(24, 138) = 3312 / 552

GCD(24, 138) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 914

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

LCM(6, 914) = 2742

GCD(6, 914) = ( 6 x 914 ) / 2742

GCD(6, 914) = 5484 / 2742

GCD(6, 914) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 391

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

LCM(2, 391) = 782

GCD(2, 391) = ( 2 x 391 ) / 782

GCD(2, 391) = 782 / 782

GCD(2, 391) = 1

GCD of 24, 138, 914, 391 is 1

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• GCD of 83, 426, 466, 216
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• GCD of 61, 538, 318, 933

1. What is the GCD of 24, 138, 914, 391?

GCD of 24, 138, 914, 391 is 1

2. Where do I get the detailed procedure to find GCD of 24, 138, 914, 391?

You can find a detailed procedure to find GCD of 24, 138, 914, 391 on our page.

3. How to find GCD of 24, 138, 914, 391 on a calculator?

You can find the GCD of 24, 138, 914, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.