GCD of 106, 328, 951, 678 Calculator

Given Input numbers are 106, 328, 951, 678

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 678

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

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

Greatest Common Divisior

We found the divisors of 106, 328, 951, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 328, 951, 678 is 1.

Therefore, GCD of numbers 106, 328, 951, 678 is 1

Given Input Data is 106, 328, 951, 678

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 951 is 3 x 317

Prime Factorization of 678 is 2 x 3 x 113

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(106, 328) = 17384

GCD(106, 328) = ( 106 x 328 ) / 17384

GCD(106, 328) = 34768 / 17384

GCD(106, 328) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 951

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

LCM(2, 951) = 1902

GCD(2, 951) = ( 2 x 951 ) / 1902

GCD(2, 951) = 1902 / 1902

GCD(2, 951) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 678

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

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

GCD(1, 678) = 678 / 678

GCD(1, 678) = 1

GCD of 106, 328, 951, 678 is 1

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1. What is the GCD of 106, 328, 951, 678?

GCD of 106, 328, 951, 678 is 1

2. Where do I get the detailed procedure to find GCD of 106, 328, 951, 678?

You can find a detailed procedure to find GCD of 106, 328, 951, 678 on our page.

3. How to find GCD of 106, 328, 951, 678 on a calculator?

You can find the GCD of 106, 328, 951, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.