GCD of 32, 21, 38, 70 Calculator

Given Input numbers are 32, 21, 38, 70

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

Divisors of 32

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

1, 2, 4, 8, 16, 32

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 70

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

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

Greatest Common Divisior

We found the divisors of 32, 21, 38, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 21, 38, 70 is 1.

Therefore, GCD of numbers 32, 21, 38, 70 is 1

Given Input Data is 32, 21, 38, 70

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

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 38 is 2 x 19

Prime Factorization of 70 is 2 x 5 x 7

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(32, 21) = 672

GCD(32, 21) = ( 32 x 21 ) / 672

GCD(32, 21) = 672 / 672

GCD(32, 21) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 1

GCD of 32, 21, 38, 70 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 48, 90, 44
• GCD of 76, 95, 97, 74
• GCD of 27, 37, 17, 30
• GCD of 75, 76, 77, 95
• GCD of 71, 65, 24, 23

1. What is the GCD of 32, 21, 38, 70?

GCD of 32, 21, 38, 70 is 1

2. Where do I get the detailed procedure to find GCD of 32, 21, 38, 70?

You can find a detailed procedure to find GCD of 32, 21, 38, 70 on our page.

3. How to find GCD of 32, 21, 38, 70 on a calculator?

You can find the GCD of 32, 21, 38, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.