GCD of 896, 521, 142, 174 Calculator

Given Input numbers are 896, 521, 142, 174

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 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Greatest Common Divisior

We found the divisors of 896, 521, 142, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 521, 142, 174 is 1.

Therefore, GCD of numbers 896, 521, 142, 174 is 1

Given Input Data is 896, 521, 142, 174

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 521 is 521

Prime Factorization of 142 is 2 x 71

Prime Factorization of 174 is 2 x 3 x 29

The above numbers do not have any common prime factor. So GCD is 1

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, 521) = 466816

GCD(896, 521) = ( 896 x 521 ) / 466816

GCD(896, 521) = 466816 / 466816

GCD(896, 521) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 896, 521, 142, 174 is 1

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• GCD of 159, 120, 713, 853
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1. What is the GCD of 896, 521, 142, 174?

GCD of 896, 521, 142, 174 is 1

2. Where do I get the detailed procedure to find GCD of 896, 521, 142, 174?

You can find a detailed procedure to find GCD of 896, 521, 142, 174 on our page.

3. How to find GCD of 896, 521, 142, 174 on a calculator?

You can find the GCD of 896, 521, 142, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.