GCD of 684, 103, 853, 513 Calculator

Given Input numbers are 684, 103, 853, 513

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

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 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 684, 103, 853, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 103, 853, 513 is 1.

Therefore, GCD of numbers 684, 103, 853, 513 is 1

Given Input Data is 684, 103, 853, 513

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

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

Prime Factorization of 103 is 103

Prime Factorization of 853 is 853

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(684, 103) = 70452

GCD(684, 103) = ( 684 x 103 ) / 70452

GCD(684, 103) = 70452 / 70452

GCD(684, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 684, 103, 853, 513 is 1

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1. What is the GCD of 684, 103, 853, 513?

GCD of 684, 103, 853, 513 is 1

2. Where do I get the detailed procedure to find GCD of 684, 103, 853, 513?

You can find a detailed procedure to find GCD of 684, 103, 853, 513 on our page.

3. How to find GCD of 684, 103, 853, 513 on a calculator?

You can find the GCD of 684, 103, 853, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.