GCD of 10, 498, 703, 678 Calculator

Given Input numbers are 10, 498, 703, 678

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 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

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 10, 498, 703, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 498, 703, 678 is 1.

Therefore, GCD of numbers 10, 498, 703, 678 is 1

Given Input Data is 10, 498, 703, 678

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 703 is 19 x 37

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(10, 498) = 2490

GCD(10, 498) = ( 10 x 498 ) / 2490

GCD(10, 498) = 4980 / 2490

GCD(10, 498) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 703

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

LCM(2, 703) = 1406

GCD(2, 703) = ( 2 x 703 ) / 1406

GCD(2, 703) = 1406 / 1406

GCD(2, 703) = 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 10, 498, 703, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 30, 751, 669, 378
• GCD of 56, 383, 473, 186
• GCD of 28, 881, 146, 446
• GCD of 52, 559, 250, 309
• GCD of 21, 506, 111, 792

1. What is the GCD of 10, 498, 703, 678?

GCD of 10, 498, 703, 678 is 1

2. Where do I get the detailed procedure to find GCD of 10, 498, 703, 678?

You can find a detailed procedure to find GCD of 10, 498, 703, 678 on our page.

3. How to find GCD of 10, 498, 703, 678 on a calculator?

You can find the GCD of 10, 498, 703, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.