GCD of 896, 804, 154, 698 Calculator

Given Input numbers are 896, 804, 154, 698

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 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 896, 804, 154, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 804, 154, 698 is 2.

Therefore, GCD of numbers 896, 804, 154, 698 is 2

Given Input Data is 896, 804, 154, 698

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 804 is 2 x 2 x 3 x 67

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 698 is 2 x 349

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, 804) = 180096

GCD(896, 804) = ( 896 x 804 ) / 180096

GCD(896, 804) = 720384 / 180096

GCD(896, 804) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 154

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

LCM(4, 154) = 308

GCD(4, 154) = ( 4 x 154 ) / 308

GCD(4, 154) = 616 / 308

GCD(4, 154) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 698

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

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

GCD(2, 698) = 1396 / 698

GCD(2, 698) = 2

GCD of 896, 804, 154, 698 is 2

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1. What is the GCD of 896, 804, 154, 698?

GCD of 896, 804, 154, 698 is 2

2. Where do I get the detailed procedure to find GCD of 896, 804, 154, 698?

You can find a detailed procedure to find GCD of 896, 804, 154, 698 on our page.

3. How to find GCD of 896, 804, 154, 698 on a calculator?

You can find the GCD of 896, 804, 154, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.