GCD of 10, 968, 299, 423 Calculator

Given Input numbers are 10, 968, 299, 423

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 10, 968, 299, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 968, 299, 423 is 1.

Therefore, GCD of numbers 10, 968, 299, 423 is 1

Given Input Data is 10, 968, 299, 423

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 299 is 13 x 23

Prime Factorization of 423 is 3 x 3 x 47

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(10, 968) = 4840

GCD(10, 968) = ( 10 x 968 ) / 4840

GCD(10, 968) = 9680 / 4840

GCD(10, 968) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 299

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

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

GCD(2, 299) = 598 / 598

GCD(2, 299) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 423

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

LCM(1, 423) = 423

GCD(1, 423) = ( 1 x 423 ) / 423

GCD(1, 423) = 423 / 423

GCD(1, 423) = 1

GCD of 10, 968, 299, 423 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 246, 754, 330
• GCD of 44, 481, 220, 633
• GCD of 24, 975, 708, 614
• GCD of 32, 529, 141, 143
• GCD of 89, 937, 931, 353

1. What is the GCD of 10, 968, 299, 423?

GCD of 10, 968, 299, 423 is 1

2. Where do I get the detailed procedure to find GCD of 10, 968, 299, 423?

You can find a detailed procedure to find GCD of 10, 968, 299, 423 on our page.

3. How to find GCD of 10, 968, 299, 423 on a calculator?

You can find the GCD of 10, 968, 299, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.