GCD of 28, 70, 20, 32 Calculator

Given Input numbers are 28, 70, 20, 32

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Greatest Common Divisior

We found the divisors of 28, 70, 20, 32 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 70, 20, 32 is 2.

Therefore, GCD of numbers 28, 70, 20, 32 is 2

Given Input Data is 28, 70, 20, 32

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

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

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(28, 70) = 140

GCD(28, 70) = ( 28 x 70 ) / 140

GCD(28, 70) = 1960 / 140

GCD(28, 70) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 20

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

LCM(14, 20) = 140

GCD(14, 20) = ( 14 x 20 ) / 140

GCD(14, 20) = 280 / 140

GCD(14, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

GCD of 28, 70, 20, 32 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 60, 27, 86
• GCD of 70, 60, 17, 71
• GCD of 87, 68, 91, 17
• GCD of 32, 79, 87, 99
• GCD of 96, 17, 89, 18

1. What is the GCD of 28, 70, 20, 32?

GCD of 28, 70, 20, 32 is 2

2. Where do I get the detailed procedure to find GCD of 28, 70, 20, 32?

You can find a detailed procedure to find GCD of 28, 70, 20, 32 on our page.

3. How to find GCD of 28, 70, 20, 32 on a calculator?

You can find the GCD of 28, 70, 20, 32 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.