GCD of 714, 856, 661, 566 Calculator

Given Input numbers are 714, 856, 661, 566

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

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 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 714, 856, 661, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 856, 661, 566 is 1.

Therefore, GCD of numbers 714, 856, 661, 566 is 1

Given Input Data is 714, 856, 661, 566

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

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

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 661 is 661

Prime Factorization of 566 is 2 x 283

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(714, 856) = 305592

GCD(714, 856) = ( 714 x 856 ) / 305592

GCD(714, 856) = 611184 / 305592

GCD(714, 856) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 661

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

LCM(2, 661) = 1322

GCD(2, 661) = ( 2 x 661 ) / 1322

GCD(2, 661) = 1322 / 1322

GCD(2, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

GCD of 714, 856, 661, 566 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 708, 604, 340, 565
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• GCD of 624, 915, 324, 767

1. What is the GCD of 714, 856, 661, 566?

GCD of 714, 856, 661, 566 is 1

2. Where do I get the detailed procedure to find GCD of 714, 856, 661, 566?

You can find a detailed procedure to find GCD of 714, 856, 661, 566 on our page.

3. How to find GCD of 714, 856, 661, 566 on a calculator?

You can find the GCD of 714, 856, 661, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.