GCD of 76, 518, 716, 209 Calculator

Given Input numbers are 76, 518, 716, 209

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Greatest Common Divisior

We found the divisors of 76, 518, 716, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 518, 716, 209 is 1.

Therefore, GCD of numbers 76, 518, 716, 209 is 1

Given Input Data is 76, 518, 716, 209

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 209 is 11 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(76, 518) = 19684

GCD(76, 518) = ( 76 x 518 ) / 19684

GCD(76, 518) = 39368 / 19684

GCD(76, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 716

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

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

GCD(2, 716) = 1432 / 716

GCD(2, 716) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 209

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

LCM(2, 209) = 418

GCD(2, 209) = ( 2 x 209 ) / 418

GCD(2, 209) = 418 / 418

GCD(2, 209) = 1

GCD of 76, 518, 716, 209 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 360, 810, 606
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• GCD of 17, 317, 144, 120
• GCD of 24, 546, 221, 901
• GCD of 64, 544, 350, 800

1. What is the GCD of 76, 518, 716, 209?

GCD of 76, 518, 716, 209 is 1

2. Where do I get the detailed procedure to find GCD of 76, 518, 716, 209?

You can find a detailed procedure to find GCD of 76, 518, 716, 209 on our page.

3. How to find GCD of 76, 518, 716, 209 on a calculator?

You can find the GCD of 76, 518, 716, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.