GCD of 424, 894, 49, 415 Calculator

Given Input numbers are 424, 894, 49, 415

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 424, 894, 49, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 894, 49, 415 is 1.

Therefore, GCD of numbers 424, 894, 49, 415 is 1

Given Input Data is 424, 894, 49, 415

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 49 is 7 x 7

Prime Factorization of 415 is 5 x 83

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(424, 894) = 189528

GCD(424, 894) = ( 424 x 894 ) / 189528

GCD(424, 894) = 379056 / 189528

GCD(424, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 49

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

LCM(2, 49) = 98

GCD(2, 49) = ( 2 x 49 ) / 98

GCD(2, 49) = 98 / 98

GCD(2, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 424, 894, 49, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 549, 15, 130
• GCD of 865, 833, 49, 792
• GCD of 579, 244, 48, 671
• GCD of 508, 720, 58, 289
• GCD of 628, 893, 35, 917

1. What is the GCD of 424, 894, 49, 415?

GCD of 424, 894, 49, 415 is 1

2. Where do I get the detailed procedure to find GCD of 424, 894, 49, 415?

You can find a detailed procedure to find GCD of 424, 894, 49, 415 on our page.

3. How to find GCD of 424, 894, 49, 415 on a calculator?

You can find the GCD of 424, 894, 49, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.