GCD of 307, 676, 20, 475 Calculator

Given Input numbers are 307, 676, 20, 475

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

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 307, 676, 20, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 676, 20, 475 is 1.

Therefore, GCD of numbers 307, 676, 20, 475 is 1

Given Input Data is 307, 676, 20, 475

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

Prime Factorization of 307 is 307

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 475 is 5 x 5 x 19

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(307, 676) = 207532

GCD(307, 676) = ( 307 x 676 ) / 207532

GCD(307, 676) = 207532 / 207532

GCD(307, 676) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 307, 676, 20, 475 is 1

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• GCD of 737, 801, 50, 719
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1. What is the GCD of 307, 676, 20, 475?

GCD of 307, 676, 20, 475 is 1

2. Where do I get the detailed procedure to find GCD of 307, 676, 20, 475?

You can find a detailed procedure to find GCD of 307, 676, 20, 475 on our page.

3. How to find GCD of 307, 676, 20, 475 on a calculator?

You can find the GCD of 307, 676, 20, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.