GCD of 947, 160, 37, 512 Calculator

Given Input numbers are 947, 160, 37, 512

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

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Greatest Common Divisior

We found the divisors of 947, 160, 37, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 947, 160, 37, 512 is 1.

Therefore, GCD of numbers 947, 160, 37, 512 is 1

Given Input Data is 947, 160, 37, 512

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

Prime Factorization of 947 is 947

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 37 is 37

Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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(947, 160) = 151520

GCD(947, 160) = ( 947 x 160 ) / 151520

GCD(947, 160) = 151520 / 151520

GCD(947, 160) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 512

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

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

GCD(1, 512) = 512 / 512

GCD(1, 512) = 1

GCD of 947, 160, 37, 512 is 1

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1. What is the GCD of 947, 160, 37, 512?

GCD of 947, 160, 37, 512 is 1

2. Where do I get the detailed procedure to find GCD of 947, 160, 37, 512?

You can find a detailed procedure to find GCD of 947, 160, 37, 512 on our page.

3. How to find GCD of 947, 160, 37, 512 on a calculator?

You can find the GCD of 947, 160, 37, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.