GCD of 54, 437, 713, 112 Calculator

Given Input numbers are 54, 437, 713, 112

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 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 54, 437, 713, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 437, 713, 112 is 1.

Therefore, GCD of numbers 54, 437, 713, 112 is 1

Given Input Data is 54, 437, 713, 112

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 437 is 19 x 23

Prime Factorization of 713 is 23 x 31

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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, 437) = 23598

GCD(54, 437) = ( 54 x 437 ) / 23598

GCD(54, 437) = 23598 / 23598

GCD(54, 437) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 713

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

LCM(1, 713) = 713

GCD(1, 713) = ( 1 x 713 ) / 713

GCD(1, 713) = 713 / 713

GCD(1, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 54, 437, 713, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 433, 578, 682
• GCD of 15, 865, 773, 475
• GCD of 28, 472, 914, 717
• GCD of 88, 889, 921, 705
• GCD of 94, 908, 538, 248

1. What is the GCD of 54, 437, 713, 112?

GCD of 54, 437, 713, 112 is 1

2. Where do I get the detailed procedure to find GCD of 54, 437, 713, 112?

You can find a detailed procedure to find GCD of 54, 437, 713, 112 on our page.

3. How to find GCD of 54, 437, 713, 112 on a calculator?

You can find the GCD of 54, 437, 713, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.