GCD of 114, 716, 840, 717 Calculator

Given Input numbers are 114, 716, 840, 717

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 716

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

1, 2, 4, 179, 358, 716

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 114, 716, 840, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 716, 840, 717 is 1.

Therefore, GCD of numbers 114, 716, 840, 717 is 1

Given Input Data is 114, 716, 840, 717

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

Prime Factorization of 717 is 3 x 239

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(114, 716) = 40812

GCD(114, 716) = ( 114 x 716 ) / 40812

GCD(114, 716) = 81624 / 40812

GCD(114, 716) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 840

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

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

GCD(2, 840) = 1680 / 840

GCD(2, 840) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 717

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

LCM(2, 717) = 1434

GCD(2, 717) = ( 2 x 717 ) / 1434

GCD(2, 717) = 1434 / 1434

GCD(2, 717) = 1

GCD of 114, 716, 840, 717 is 1

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• GCD of 522, 718, 161, 416

1. What is the GCD of 114, 716, 840, 717?

GCD of 114, 716, 840, 717 is 1

2. Where do I get the detailed procedure to find GCD of 114, 716, 840, 717?

You can find a detailed procedure to find GCD of 114, 716, 840, 717 on our page.

3. How to find GCD of 114, 716, 840, 717 on a calculator?

You can find the GCD of 114, 716, 840, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.