GCD of 10, 674, 684, 797 Calculator

Given Input numbers are 10, 674, 684, 797

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 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Greatest Common Divisior

We found the divisors of 10, 674, 684, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 674, 684, 797 is 1.

Therefore, GCD of numbers 10, 674, 684, 797 is 1

Given Input Data is 10, 674, 684, 797

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 674 is 2 x 337

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 797 is 797

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, 674) = 3370

GCD(10, 674) = ( 10 x 674 ) / 3370

GCD(10, 674) = 6740 / 3370

GCD(10, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 684

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

LCM(2, 684) = 684

GCD(2, 684) = ( 2 x 684 ) / 684

GCD(2, 684) = 1368 / 684

GCD(2, 684) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 797

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

LCM(2, 797) = 1594

GCD(2, 797) = ( 2 x 797 ) / 1594

GCD(2, 797) = 1594 / 1594

GCD(2, 797) = 1

GCD of 10, 674, 684, 797 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 900, 666, 872
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• GCD of 75, 954, 656, 724

1. What is the GCD of 10, 674, 684, 797?

GCD of 10, 674, 684, 797 is 1

2. Where do I get the detailed procedure to find GCD of 10, 674, 684, 797?

You can find a detailed procedure to find GCD of 10, 674, 684, 797 on our page.

3. How to find GCD of 10, 674, 684, 797 on a calculator?

You can find the GCD of 10, 674, 684, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.