GCD of 185, 516, 112, 144 Calculator

Given Input numbers are 185, 516, 112, 144

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

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 185, 516, 112, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 185, 516, 112, 144 is 1.

Therefore, GCD of numbers 185, 516, 112, 144 is 1

Given Input Data is 185, 516, 112, 144

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(185, 516) = 95460

GCD(185, 516) = ( 185 x 516 ) / 95460

GCD(185, 516) = 95460 / 95460

GCD(185, 516) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 185, 516, 112, 144 is 1

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1. What is the GCD of 185, 516, 112, 144?

GCD of 185, 516, 112, 144 is 1

2. Where do I get the detailed procedure to find GCD of 185, 516, 112, 144?

You can find a detailed procedure to find GCD of 185, 516, 112, 144 on our page.

3. How to find GCD of 185, 516, 112, 144 on a calculator?

You can find the GCD of 185, 516, 112, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.