GCD of 558, 674, 10, 503 Calculator

Given Input numbers are 558, 674, 10, 503

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

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 674

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

1, 2, 337, 674

Divisors of 10

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

1, 2, 5, 10

Divisors of 503

List of positive integer divisors of 503 that divides 503 without a remainder.

1, 503

Greatest Common Divisior

We found the divisors of 558, 674, 10, 503 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 558, 674, 10, 503 is 1.

Therefore, GCD of numbers 558, 674, 10, 503 is 1

Given Input Data is 558, 674, 10, 503

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

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 674 is 2 x 337

Prime Factorization of 10 is 2 x 5

Prime Factorization of 503 is 503

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(558, 674) = 188046

GCD(558, 674) = ( 558 x 674 ) / 188046

GCD(558, 674) = 376092 / 188046

GCD(558, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 503

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

LCM(2, 503) = 1006

GCD(2, 503) = ( 2 x 503 ) / 1006

GCD(2, 503) = 1006 / 1006

GCD(2, 503) = 1

GCD of 558, 674, 10, 503 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 988, 762, 25, 464
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• GCD of 207, 170, 10, 481
• GCD of 930, 872, 42, 834
• GCD of 290, 422, 64, 372

1. What is the GCD of 558, 674, 10, 503?

GCD of 558, 674, 10, 503 is 1

2. Where do I get the detailed procedure to find GCD of 558, 674, 10, 503?

You can find a detailed procedure to find GCD of 558, 674, 10, 503 on our page.

3. How to find GCD of 558, 674, 10, 503 on a calculator?

You can find the GCD of 558, 674, 10, 503 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.