GCD of 71, 478, 679, 540 Calculator

Given Input numbers are 71, 478, 679, 540

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Greatest Common Divisior

We found the divisors of 71, 478, 679, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 478, 679, 540 is 1.

Therefore, GCD of numbers 71, 478, 679, 540 is 1

Given Input Data is 71, 478, 679, 540

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

Prime Factorization of 71 is 71

Prime Factorization of 478 is 2 x 239

Prime Factorization of 679 is 7 x 97

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

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(71, 478) = 33938

GCD(71, 478) = ( 71 x 478 ) / 33938

GCD(71, 478) = 33938 / 33938

GCD(71, 478) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 540

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

LCM(1, 540) = 540

GCD(1, 540) = ( 1 x 540 ) / 540

GCD(1, 540) = 540 / 540

GCD(1, 540) = 1

GCD of 71, 478, 679, 540 is 1

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• GCD of 35, 522, 318, 176
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1. What is the GCD of 71, 478, 679, 540?

GCD of 71, 478, 679, 540 is 1

2. Where do I get the detailed procedure to find GCD of 71, 478, 679, 540?

You can find a detailed procedure to find GCD of 71, 478, 679, 540 on our page.

3. How to find GCD of 71, 478, 679, 540 on a calculator?

You can find the GCD of 71, 478, 679, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.