GCD of 754, 471, 27, 710 Calculator

Given Input numbers are 754, 471, 27, 710

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

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 754, 471, 27, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 754, 471, 27, 710 is 1.

Therefore, GCD of numbers 754, 471, 27, 710 is 1

Given Input Data is 754, 471, 27, 710

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

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 471 is 3 x 157

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 710 is 2 x 5 x 71

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(754, 471) = 355134

GCD(754, 471) = ( 754 x 471 ) / 355134

GCD(754, 471) = 355134 / 355134

GCD(754, 471) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 710

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

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

GCD(1, 710) = 710 / 710

GCD(1, 710) = 1

GCD of 754, 471, 27, 710 is 1

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1. What is the GCD of 754, 471, 27, 710?

GCD of 754, 471, 27, 710 is 1

2. Where do I get the detailed procedure to find GCD of 754, 471, 27, 710?

You can find a detailed procedure to find GCD of 754, 471, 27, 710 on our page.

3. How to find GCD of 754, 471, 27, 710 on a calculator?

You can find the GCD of 754, 471, 27, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.