GCD of 714, 511, 11, 655 Calculator

Given Input numbers are 714, 511, 11, 655

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 511

List of positive integer divisors of 511 that divides 511 without a remainder.

1, 7, 73, 511

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Greatest Common Divisior

We found the divisors of 714, 511, 11, 655 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 511, 11, 655 is 1.

Therefore, GCD of numbers 714, 511, 11, 655 is 1

Given Input Data is 714, 511, 11, 655

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 511 is 7 x 73

Prime Factorization of 11 is 11

Prime Factorization of 655 is 5 x 131

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, 511) = 52122

GCD(714, 511) = ( 714 x 511 ) / 52122

GCD(714, 511) = 364854 / 52122

GCD(714, 511) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 11

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

LCM(7, 11) = 77

GCD(7, 11) = ( 7 x 11 ) / 77

GCD(7, 11) = 77 / 77

GCD(7, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 655

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

LCM(1, 655) = 655

GCD(1, 655) = ( 1 x 655 ) / 655

GCD(1, 655) = 655 / 655

GCD(1, 655) = 1

GCD of 714, 511, 11, 655 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 100, 43, 766
• GCD of 282, 124, 36, 180
• GCD of 182, 647, 19, 385
• GCD of 260, 194, 67, 484
• GCD of 368, 673, 91, 959

1. What is the GCD of 714, 511, 11, 655?

GCD of 714, 511, 11, 655 is 1

2. Where do I get the detailed procedure to find GCD of 714, 511, 11, 655?

You can find a detailed procedure to find GCD of 714, 511, 11, 655 on our page.

3. How to find GCD of 714, 511, 11, 655 on a calculator?

You can find the GCD of 714, 511, 11, 655 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.