GCD of 896, 134, 304, 968 Calculator

Given Input numbers are 896, 134, 304, 968

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 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 896, 134, 304, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 134, 304, 968 is 2.

Therefore, GCD of numbers 896, 134, 304, 968 is 2

Given Input Data is 896, 134, 304, 968

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 134 is 2 x 67

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 134) = 60032

GCD(896, 134) = ( 896 x 134 ) / 60032

GCD(896, 134) = 120064 / 60032

GCD(896, 134) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 304

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

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

GCD(2, 304) = 608 / 304

GCD(2, 304) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 968

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

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

GCD(2, 968) = 1936 / 968

GCD(2, 968) = 2

GCD of 896, 134, 304, 968 is 2

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1. What is the GCD of 896, 134, 304, 968?

GCD of 896, 134, 304, 968 is 2

2. Where do I get the detailed procedure to find GCD of 896, 134, 304, 968?

You can find a detailed procedure to find GCD of 896, 134, 304, 968 on our page.

3. How to find GCD of 896, 134, 304, 968 on a calculator?

You can find the GCD of 896, 134, 304, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.