GCD of 31, 229, 105, 678 Calculator

Given Input numbers are 31, 229, 105, 678

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

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

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 31, 229, 105, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 229, 105, 678 is 1.

Therefore, GCD of numbers 31, 229, 105, 678 is 1

Given Input Data is 31, 229, 105, 678

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

Prime Factorization of 31 is 31

Prime Factorization of 229 is 229

Prime Factorization of 105 is 3 x 5 x 7

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(31, 229) = 7099

GCD(31, 229) = ( 31 x 229 ) / 7099

GCD(31, 229) = 7099 / 7099

GCD(31, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 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 31, 229, 105, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 65, 645, 405, 679
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• GCD of 63, 123, 553, 968
• GCD of 77, 571, 416, 288
• GCD of 51, 870, 104, 724

1. What is the GCD of 31, 229, 105, 678?

GCD of 31, 229, 105, 678 is 1

2. Where do I get the detailed procedure to find GCD of 31, 229, 105, 678?

You can find a detailed procedure to find GCD of 31, 229, 105, 678 on our page.

3. How to find GCD of 31, 229, 105, 678 on a calculator?

You can find the GCD of 31, 229, 105, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.