GCD of 509, 714, 55 Calculator

Given Input numbers are 509, 714, 55

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Greatest Common Divisior

We found the divisors of 509, 714, 55 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 714, 55 is 1.

Therefore, GCD of numbers 509, 714, 55 is 1

Given Input Data is 509, 714, 55

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

Prime Factorization of 509 is 509

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 55 is 5 x 11

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(509, 714) = 363426

GCD(509, 714) = ( 509 x 714 ) / 363426

GCD(509, 714) = 363426 / 363426

GCD(509, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

GCD of 509, 714, 55 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 971, 77
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• GCD of 139, 539, 81
• GCD of 386, 874, 24
• GCD of 550, 404, 38

1. What is the GCD of 509, 714, 55?

GCD of 509, 714, 55 is 1

2. Where do I get the detailed procedure to find GCD of 509, 714, 55?

You can find a detailed procedure to find GCD of 509, 714, 55 on our page.

3. How to find GCD of 509, 714, 55 on a calculator?

You can find the GCD of 509, 714, 55 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.