GCD of 168, 492, 452, 896 Calculator

Given Input numbers are 168, 492, 452, 896

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

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 168, 492, 452, 896 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 492, 452, 896 is 4.

Therefore, GCD of numbers 168, 492, 452, 896 is 4

Given Input Data is 168, 492, 452, 896

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 452 is 2 x 2 x 113

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 2²

Multiplying them we get the GCD as 4

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(168, 492) = 6888

GCD(168, 492) = ( 168 x 492 ) / 6888

GCD(168, 492) = 82656 / 6888

GCD(168, 492) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 452

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

LCM(12, 452) = 1356

GCD(12, 452) = ( 12 x 452 ) / 1356

GCD(12, 452) = 5424 / 1356

GCD(12, 452) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 896

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

LCM(4, 896) = 896

GCD(4, 896) = ( 4 x 896 ) / 896

GCD(4, 896) = 3584 / 896

GCD(4, 896) = 4

GCD of 168, 492, 452, 896 is 4

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1. What is the GCD of 168, 492, 452, 896?

GCD of 168, 492, 452, 896 is 4

2. Where do I get the detailed procedure to find GCD of 168, 492, 452, 896?

You can find a detailed procedure to find GCD of 168, 492, 452, 896 on our page.

3. How to find GCD of 168, 492, 452, 896 on a calculator?

You can find the GCD of 168, 492, 452, 896 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.