GCD of 47, 686, 144, 164 Calculator

Given Input numbers are 47, 686, 144, 164

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 47, 686, 144, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 686, 144, 164 is 1.

Therefore, GCD of numbers 47, 686, 144, 164 is 1

Given Input Data is 47, 686, 144, 164

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

Prime Factorization of 47 is 47

Prime Factorization of 686 is 2 x 7 x 7 x 7

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

Prime Factorization of 164 is 2 x 2 x 41

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(47, 686) = 32242

GCD(47, 686) = ( 47 x 686 ) / 32242

GCD(47, 686) = 32242 / 32242

GCD(47, 686) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

GCD of 47, 686, 144, 164 is 1

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1. What is the GCD of 47, 686, 144, 164?

GCD of 47, 686, 144, 164 is 1

2. Where do I get the detailed procedure to find GCD of 47, 686, 144, 164?

You can find a detailed procedure to find GCD of 47, 686, 144, 164 on our page.

3. How to find GCD of 47, 686, 144, 164 on a calculator?

You can find the GCD of 47, 686, 144, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.