GCD of 54, 472, 871, 914 Calculator

Given Input numbers are 54, 472, 871, 914

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 914

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

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 54, 472, 871, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 472, 871, 914 is 1.

Therefore, GCD of numbers 54, 472, 871, 914 is 1

Given Input Data is 54, 472, 871, 914

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 871 is 13 x 67

Prime Factorization of 914 is 2 x 457

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(54, 472) = 12744

GCD(54, 472) = ( 54 x 472 ) / 12744

GCD(54, 472) = 25488 / 12744

GCD(54, 472) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 871

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

LCM(2, 871) = 1742

GCD(2, 871) = ( 2 x 871 ) / 1742

GCD(2, 871) = 1742 / 1742

GCD(2, 871) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 54, 472, 871, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 917, 767, 209
• GCD of 51, 971, 631, 147
• GCD of 91, 659, 890, 919
• GCD of 75, 127, 611, 351
• GCD of 25, 899, 649, 354

1. What is the GCD of 54, 472, 871, 914?

GCD of 54, 472, 871, 914 is 1

2. Where do I get the detailed procedure to find GCD of 54, 472, 871, 914?

You can find a detailed procedure to find GCD of 54, 472, 871, 914 on our page.

3. How to find GCD of 54, 472, 871, 914 on a calculator?

You can find the GCD of 54, 472, 871, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.