GCD of 896, 978, 132, 481 Calculator

Given Input numbers are 896, 978, 132, 481

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

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Greatest Common Divisior

We found the divisors of 896, 978, 132, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 978, 132, 481 is 1.

Therefore, GCD of numbers 896, 978, 132, 481 is 1

Given Input Data is 896, 978, 132, 481

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

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 481 is 13 x 37

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(896, 978) = 438144

GCD(896, 978) = ( 896 x 978 ) / 438144

GCD(896, 978) = 876288 / 438144

GCD(896, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 481

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

LCM(2, 481) = 962

GCD(2, 481) = ( 2 x 481 ) / 962

GCD(2, 481) = 962 / 962

GCD(2, 481) = 1

GCD of 896, 978, 132, 481 is 1

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1. What is the GCD of 896, 978, 132, 481?

GCD of 896, 978, 132, 481 is 1

2. Where do I get the detailed procedure to find GCD of 896, 978, 132, 481?

You can find a detailed procedure to find GCD of 896, 978, 132, 481 on our page.

3. How to find GCD of 896, 978, 132, 481 on a calculator?

You can find the GCD of 896, 978, 132, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.