GCD of 960, 180, 47, 398 Calculator

Given Input numbers are 960, 180, 47, 398

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 47

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

1, 47

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 960, 180, 47, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 180, 47, 398 is 1.

Therefore, GCD of numbers 960, 180, 47, 398 is 1

Given Input Data is 960, 180, 47, 398

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 47 is 47

Prime Factorization of 398 is 2 x 199

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(960, 180) = 2880

GCD(960, 180) = ( 960 x 180 ) / 2880

GCD(960, 180) = 172800 / 2880

GCD(960, 180) = 60

Step2:

Here we consider the GCD from the above i.e. 60 as first number and the next as 47

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

LCM(60, 47) = 2820

GCD(60, 47) = ( 60 x 47 ) / 2820

GCD(60, 47) = 2820 / 2820

GCD(60, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 960, 180, 47, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 895, 61, 200
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• GCD of 828, 218, 85, 217
• GCD of 534, 194, 37, 125
• GCD of 218, 260, 66, 247

1. What is the GCD of 960, 180, 47, 398?

GCD of 960, 180, 47, 398 is 1

2. Where do I get the detailed procedure to find GCD of 960, 180, 47, 398?

You can find a detailed procedure to find GCD of 960, 180, 47, 398 on our page.

3. How to find GCD of 960, 180, 47, 398 on a calculator?

You can find the GCD of 960, 180, 47, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.