GCD of 314, 548, 20, 764 Calculator

Given Input numbers are 314, 548, 20, 764

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Greatest Common Divisior

We found the divisors of 314, 548, 20, 764 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 548, 20, 764 is 2.

Therefore, GCD of numbers 314, 548, 20, 764 is 2

Given Input Data is 314, 548, 20, 764

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 764 is 2 x 2 x 191

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(314, 548) = 86036

GCD(314, 548) = ( 314 x 548 ) / 86036

GCD(314, 548) = 172072 / 86036

GCD(314, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 764

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

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

GCD(2, 764) = 1528 / 764

GCD(2, 764) = 2

GCD of 314, 548, 20, 764 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 646, 173, 86, 147
• GCD of 709, 615, 74, 995
• GCD of 529, 584, 33, 919
• GCD of 252, 345, 29, 555
• GCD of 538, 600, 49, 217

1. What is the GCD of 314, 548, 20, 764?

GCD of 314, 548, 20, 764 is 2

2. Where do I get the detailed procedure to find GCD of 314, 548, 20, 764?

You can find a detailed procedure to find GCD of 314, 548, 20, 764 on our page.

3. How to find GCD of 314, 548, 20, 764 on a calculator?

You can find the GCD of 314, 548, 20, 764 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.