GCD of 78, 500, 478, 471 Calculator

Given Input numbers are 78, 500, 478, 471

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 478

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

1, 2, 239, 478

Divisors of 471

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

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 78, 500, 478, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 500, 478, 471 is 1.

Therefore, GCD of numbers 78, 500, 478, 471 is 1

Given Input Data is 78, 500, 478, 471

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 478 is 2 x 239

Prime Factorization of 471 is 3 x 157

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(78, 500) = 19500

GCD(78, 500) = ( 78 x 500 ) / 19500

GCD(78, 500) = 39000 / 19500

GCD(78, 500) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 478

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

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

GCD(2, 478) = 956 / 478

GCD(2, 478) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 471

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

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

GCD(2, 471) = 942 / 942

GCD(2, 471) = 1

GCD of 78, 500, 478, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 704, 736, 484
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• GCD of 63, 143, 821, 339
• GCD of 91, 641, 282, 549
• GCD of 27, 726, 429, 410

1. What is the GCD of 78, 500, 478, 471?

GCD of 78, 500, 478, 471 is 1

2. Where do I get the detailed procedure to find GCD of 78, 500, 478, 471?

You can find a detailed procedure to find GCD of 78, 500, 478, 471 on our page.

3. How to find GCD of 78, 500, 478, 471 on a calculator?

You can find the GCD of 78, 500, 478, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.