GCD of 308, 420, 20, 544 Calculator

Given Input numbers are 308, 420, 20, 544

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

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 308, 420, 20, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 420, 20, 544 is 4.

Therefore, GCD of numbers 308, 420, 20, 544 is 4

Given Input Data is 308, 420, 20, 544

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

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(308, 420) = 4620

GCD(308, 420) = ( 308 x 420 ) / 4620

GCD(308, 420) = 129360 / 4620

GCD(308, 420) = 28

Step2:

Here we consider the GCD from the above i.e. 28 as first number and the next as 20

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

LCM(28, 20) = 140

GCD(28, 20) = ( 28 x 20 ) / 140

GCD(28, 20) = 560 / 140

GCD(28, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 544

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

LCM(4, 544) = 544

GCD(4, 544) = ( 4 x 544 ) / 544

GCD(4, 544) = 2176 / 544

GCD(4, 544) = 4

GCD of 308, 420, 20, 544 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 655, 85, 668
• GCD of 399, 127, 34, 658
• GCD of 102, 603, 32, 851
• GCD of 454, 573, 30, 540
• GCD of 395, 855, 80, 176

1. What is the GCD of 308, 420, 20, 544?

GCD of 308, 420, 20, 544 is 4

2. Where do I get the detailed procedure to find GCD of 308, 420, 20, 544?

You can find a detailed procedure to find GCD of 308, 420, 20, 544 on our page.

3. How to find GCD of 308, 420, 20, 544 on a calculator?

You can find the GCD of 308, 420, 20, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.