GCD of 896, 553, 34, 104 Calculator

Given Input numbers are 896, 553, 34, 104

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 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Greatest Common Divisior

We found the divisors of 896, 553, 34, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 553, 34, 104 is 1.

Therefore, GCD of numbers 896, 553, 34, 104 is 1

Given Input Data is 896, 553, 34, 104

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 553 is 7 x 79

Prime Factorization of 34 is 2 x 17

Prime Factorization of 104 is 2 x 2 x 2 x 13

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, 553) = 70784

GCD(896, 553) = ( 896 x 553 ) / 70784

GCD(896, 553) = 495488 / 70784

GCD(896, 553) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 34

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

LCM(7, 34) = 238

GCD(7, 34) = ( 7 x 34 ) / 238

GCD(7, 34) = 238 / 238

GCD(7, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 896, 553, 34, 104 is 1

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1. What is the GCD of 896, 553, 34, 104?

GCD of 896, 553, 34, 104 is 1

2. Where do I get the detailed procedure to find GCD of 896, 553, 34, 104?

You can find a detailed procedure to find GCD of 896, 553, 34, 104 on our page.

3. How to find GCD of 896, 553, 34, 104 on a calculator?

You can find the GCD of 896, 553, 34, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.