GCD of 896, 678, 321, 348 Calculator

Given Input numbers are 896, 678, 321, 348

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 896, 678, 321, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 896, 678, 321, 348 is 1.

Therefore, GCD of numbers 896, 678, 321, 348 is 1

Given Input Data is 896, 678, 321, 348

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 678 is 2 x 3 x 113

Prime Factorization of 321 is 3 x 107

Prime Factorization of 348 is 2 x 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, 678) = 303744

GCD(896, 678) = ( 896 x 678 ) / 303744

GCD(896, 678) = 607488 / 303744

GCD(896, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 348

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

LCM(1, 348) = 348

GCD(1, 348) = ( 1 x 348 ) / 348

GCD(1, 348) = 348 / 348

GCD(1, 348) = 1

GCD of 896, 678, 321, 348 is 1

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1. What is the GCD of 896, 678, 321, 348?

GCD of 896, 678, 321, 348 is 1

2. Where do I get the detailed procedure to find GCD of 896, 678, 321, 348?

You can find a detailed procedure to find GCD of 896, 678, 321, 348 on our page.

3. How to find GCD of 896, 678, 321, 348 on a calculator?

You can find the GCD of 896, 678, 321, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.