GCD of 513, 187, 354, 689 Calculator

Given Input numbers are 513, 187, 354, 689

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

Divisors of 513

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

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

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 513, 187, 354, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 187, 354, 689 is 1.

Therefore, GCD of numbers 513, 187, 354, 689 is 1

Given Input Data is 513, 187, 354, 689

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

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

Prime Factorization of 187 is 11 x 17

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 689 is 13 x 53

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(513, 187) = 95931

GCD(513, 187) = ( 513 x 187 ) / 95931

GCD(513, 187) = 95931 / 95931

GCD(513, 187) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 513, 187, 354, 689 is 1

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1. What is the GCD of 513, 187, 354, 689?

GCD of 513, 187, 354, 689 is 1

2. Where do I get the detailed procedure to find GCD of 513, 187, 354, 689?

You can find a detailed procedure to find GCD of 513, 187, 354, 689 on our page.

3. How to find GCD of 513, 187, 354, 689 on a calculator?

You can find the GCD of 513, 187, 354, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.