GCD of 160, 966, 947, 214 Calculator

Given Input numbers are 160, 966, 947, 214

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

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 947

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

1, 947

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 160, 966, 947, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 160, 966, 947, 214 is 1.

Therefore, GCD of numbers 160, 966, 947, 214 is 1

Given Input Data is 160, 966, 947, 214

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

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 947 is 947

Prime Factorization of 214 is 2 x 107

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(160, 966) = 77280

GCD(160, 966) = ( 160 x 966 ) / 77280

GCD(160, 966) = 154560 / 77280

GCD(160, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 160, 966, 947, 214 is 1

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1. What is the GCD of 160, 966, 947, 214?

GCD of 160, 966, 947, 214 is 1

2. Where do I get the detailed procedure to find GCD of 160, 966, 947, 214?

You can find a detailed procedure to find GCD of 160, 966, 947, 214 on our page.

3. How to find GCD of 160, 966, 947, 214 on a calculator?

You can find the GCD of 160, 966, 947, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.