GCD of 471, 564, 25, 308 Calculator

Given Input numbers are 471, 564, 25, 308

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

Divisors of 471

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

1, 3, 157, 471

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 471, 564, 25, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 471, 564, 25, 308 is 1.

Therefore, GCD of numbers 471, 564, 25, 308 is 1

Given Input Data is 471, 564, 25, 308

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

Prime Factorization of 471 is 3 x 157

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 25 is 5 x 5

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(471, 564) = 88548

GCD(471, 564) = ( 471 x 564 ) / 88548

GCD(471, 564) = 265644 / 88548

GCD(471, 564) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 25

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

LCM(3, 25) = 75

GCD(3, 25) = ( 3 x 25 ) / 75

GCD(3, 25) = 75 / 75

GCD(3, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 471, 564, 25, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 718, 52, 585
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• GCD of 546, 242, 19, 856
• GCD of 365, 977, 45, 504

1. What is the GCD of 471, 564, 25, 308?

GCD of 471, 564, 25, 308 is 1

2. Where do I get the detailed procedure to find GCD of 471, 564, 25, 308?

You can find a detailed procedure to find GCD of 471, 564, 25, 308 on our page.

3. How to find GCD of 471, 564, 25, 308 on a calculator?

You can find the GCD of 471, 564, 25, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.