GCD of 176, 578, 862, 896 Calculator

Given Input numbers are 176, 578, 862, 896

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 862

List of positive integer divisors of 862 that divides 862 without a remainder.

1, 2, 431, 862

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

Greatest Common Divisior

We found the divisors of 176, 578, 862, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 578, 862, 896 is 2.

Therefore, GCD of numbers 176, 578, 862, 896 is 2

Given Input Data is 176, 578, 862, 896

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 862 is 2 x 431

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

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(176, 578) = 50864

GCD(176, 578) = ( 176 x 578 ) / 50864

GCD(176, 578) = 101728 / 50864

GCD(176, 578) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 862

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

LCM(2, 862) = 862

GCD(2, 862) = ( 2 x 862 ) / 862

GCD(2, 862) = 1724 / 862

GCD(2, 862) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 896

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

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

GCD(2, 896) = 1792 / 896

GCD(2, 896) = 2

GCD of 176, 578, 862, 896 is 2

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1. What is the GCD of 176, 578, 862, 896?

GCD of 176, 578, 862, 896 is 2

2. Where do I get the detailed procedure to find GCD of 176, 578, 862, 896?

You can find a detailed procedure to find GCD of 176, 578, 862, 896 on our page.

3. How to find GCD of 176, 578, 862, 896 on a calculator?

You can find the GCD of 176, 578, 862, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.