GCD of 54, 681, 713, 740 Calculator

Given Input numbers are 54, 681, 713, 740

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 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 713

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

1, 23, 31, 713

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Greatest Common Divisior

We found the divisors of 54, 681, 713, 740 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 681, 713, 740 is 1.

Therefore, GCD of numbers 54, 681, 713, 740 is 1

Given Input Data is 54, 681, 713, 740

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 681 is 3 x 227

Prime Factorization of 713 is 23 x 31

Prime Factorization of 740 is 2 x 2 x 5 x 37

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, 681) = 12258

GCD(54, 681) = ( 54 x 681 ) / 12258

GCD(54, 681) = 36774 / 12258

GCD(54, 681) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 713

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

LCM(3, 713) = 2139

GCD(3, 713) = ( 3 x 713 ) / 2139

GCD(3, 713) = 2139 / 2139

GCD(3, 713) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 740

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

LCM(1, 740) = 740

GCD(1, 740) = ( 1 x 740 ) / 740

GCD(1, 740) = 740 / 740

GCD(1, 740) = 1

GCD of 54, 681, 713, 740 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 29, 218, 217, 558
• GCD of 21, 844, 156, 658
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• GCD of 80, 226, 751, 347
• GCD of 34, 333, 367, 294

1. What is the GCD of 54, 681, 713, 740?

GCD of 54, 681, 713, 740 is 1

2. Where do I get the detailed procedure to find GCD of 54, 681, 713, 740?

You can find a detailed procedure to find GCD of 54, 681, 713, 740 on our page.

3. How to find GCD of 54, 681, 713, 740 on a calculator?

You can find the GCD of 54, 681, 713, 740 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.