GCD of 856, 345, 16, 172 Calculator

Given Input numbers are 856, 345, 16, 172

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

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 856, 345, 16, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 856, 345, 16, 172 is 1.

Therefore, GCD of numbers 856, 345, 16, 172 is 1

Given Input Data is 856, 345, 16, 172

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 172 is 2 x 2 x 43

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(856, 345) = 295320

GCD(856, 345) = ( 856 x 345 ) / 295320

GCD(856, 345) = 295320 / 295320

GCD(856, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 856, 345, 16, 172 is 1

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• GCD of 960, 156, 20, 190
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1. What is the GCD of 856, 345, 16, 172?

GCD of 856, 345, 16, 172 is 1

2. Where do I get the detailed procedure to find GCD of 856, 345, 16, 172?

You can find a detailed procedure to find GCD of 856, 345, 16, 172 on our page.

3. How to find GCD of 856, 345, 16, 172 on a calculator?

You can find the GCD of 856, 345, 16, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.