GCD of 896, 955, 174, 748 Calculator

Given Input numbers are 896, 955, 174, 748

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 955

List of positive integer divisors of 955 that divides 955 without a remainder.

1, 5, 191, 955

Divisors of 174

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

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 896, 955, 174, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 955, 174, 748 is 1.

Therefore, GCD of numbers 896, 955, 174, 748 is 1

Given Input Data is 896, 955, 174, 748

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 955 is 5 x 191

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 955) = 855680

GCD(896, 955) = ( 896 x 955 ) / 855680

GCD(896, 955) = 855680 / 855680

GCD(896, 955) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 896, 955, 174, 748 is 1

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1. What is the GCD of 896, 955, 174, 748?

GCD of 896, 955, 174, 748 is 1

2. Where do I get the detailed procedure to find GCD of 896, 955, 174, 748?

You can find a detailed procedure to find GCD of 896, 955, 174, 748 on our page.

3. How to find GCD of 896, 955, 174, 748 on a calculator?

You can find the GCD of 896, 955, 174, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.