GCD of 896, 890, 784, 634 Calculator

Given Input numbers are 896, 890, 784, 634

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 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 896, 890, 784, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 890, 784, 634 is 2.

Therefore, GCD of numbers 896, 890, 784, 634 is 2

Given Input Data is 896, 890, 784, 634

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 890 is 2 x 5 x 89

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Prime Factorization of 634 is 2 x 317

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, 890) = 398720

GCD(896, 890) = ( 896 x 890 ) / 398720

GCD(896, 890) = 797440 / 398720

GCD(896, 890) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 784

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

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

GCD(2, 784) = 1568 / 784

GCD(2, 784) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 634

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

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

GCD(2, 634) = 1268 / 634

GCD(2, 634) = 2

GCD of 896, 890, 784, 634 is 2

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1. What is the GCD of 896, 890, 784, 634?

GCD of 896, 890, 784, 634 is 2

2. Where do I get the detailed procedure to find GCD of 896, 890, 784, 634?

You can find a detailed procedure to find GCD of 896, 890, 784, 634 on our page.

3. How to find GCD of 896, 890, 784, 634 on a calculator?

You can find the GCD of 896, 890, 784, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.