GCD of 42, 960, 214, 485 Calculator

Given Input numbers are 42, 960, 214, 485

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

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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 214

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

1, 2, 107, 214

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Greatest Common Divisior

We found the divisors of 42, 960, 214, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 960, 214, 485 is 1.

Therefore, GCD of numbers 42, 960, 214, 485 is 1

Given Input Data is 42, 960, 214, 485

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

Prime Factorization of 42 is 2 x 3 x 7

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 485 is 5 x 97

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(42, 960) = 6720

GCD(42, 960) = ( 42 x 960 ) / 6720

GCD(42, 960) = 40320 / 6720

GCD(42, 960) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 214

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

LCM(6, 214) = 642

GCD(6, 214) = ( 6 x 214 ) / 642

GCD(6, 214) = 1284 / 642

GCD(6, 214) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 485

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

LCM(2, 485) = 970

GCD(2, 485) = ( 2 x 485 ) / 970

GCD(2, 485) = 970 / 970

GCD(2, 485) = 1

GCD of 42, 960, 214, 485 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 720, 107, 845
• GCD of 74, 103, 137, 403
• GCD of 29, 328, 355, 644
• GCD of 86, 784, 524, 157
• GCD of 48, 482, 385, 132

1. What is the GCD of 42, 960, 214, 485?

GCD of 42, 960, 214, 485 is 1

2. Where do I get the detailed procedure to find GCD of 42, 960, 214, 485?

You can find a detailed procedure to find GCD of 42, 960, 214, 485 on our page.

3. How to find GCD of 42, 960, 214, 485 on a calculator?

You can find the GCD of 42, 960, 214, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.