GCD of 870, 397, 32, 112 Calculator

Given Input numbers are 870, 397, 32, 112

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 32

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

1, 2, 4, 8, 16, 32

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 870, 397, 32, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 397, 32, 112 is 1.

Therefore, GCD of numbers 870, 397, 32, 112 is 1

Given Input Data is 870, 397, 32, 112

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 397 is 397

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 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(870, 397) = 345390

GCD(870, 397) = ( 870 x 397 ) / 345390

GCD(870, 397) = 345390 / 345390

GCD(870, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 870, 397, 32, 112 is 1

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1. What is the GCD of 870, 397, 32, 112?

GCD of 870, 397, 32, 112 is 1

2. Where do I get the detailed procedure to find GCD of 870, 397, 32, 112?

You can find a detailed procedure to find GCD of 870, 397, 32, 112 on our page.

3. How to find GCD of 870, 397, 32, 112 on a calculator?

You can find the GCD of 870, 397, 32, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.