GCD of 258, 737, 54 Calculator

Given Input numbers are 258, 737, 54

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Divisors of 54

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

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

Greatest Common Divisior

We found the divisors of 258, 737, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 737, 54 is 1.

Therefore, GCD of numbers 258, 737, 54 is 1

Given Input Data is 258, 737, 54

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 737 is 11 x 67

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

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(258, 737) = 190146

GCD(258, 737) = ( 258 x 737 ) / 190146

GCD(258, 737) = 190146 / 190146

GCD(258, 737) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

GCD of 258, 737, 54 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 145, 66
• GCD of 655, 108, 31
• GCD of 907, 622, 74
• GCD of 836, 819, 21
• GCD of 360, 634, 78

1. What is the GCD of 258, 737, 54?

GCD of 258, 737, 54 is 1

2. Where do I get the detailed procedure to find GCD of 258, 737, 54?

You can find a detailed procedure to find GCD of 258, 737, 54 on our page.

3. How to find GCD of 258, 737, 54 on a calculator?

You can find the GCD of 258, 737, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.