GCD of 714, 457, 628, 710 Calculator

Given Input numbers are 714, 457, 628, 710

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 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Greatest Common Divisior

We found the divisors of 714, 457, 628, 710 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 457, 628, 710 is 1.

Therefore, GCD of numbers 714, 457, 628, 710 is 1

Given Input Data is 714, 457, 628, 710

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 457 is 457

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 710 is 2 x 5 x 71

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, 457) = 326298

GCD(714, 457) = ( 714 x 457 ) / 326298

GCD(714, 457) = 326298 / 326298

GCD(714, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 710

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

LCM(1, 710) = 710

GCD(1, 710) = ( 1 x 710 ) / 710

GCD(1, 710) = 710 / 710

GCD(1, 710) = 1

GCD of 714, 457, 628, 710 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 682, 140, 402, 647
• GCD of 861, 349, 305, 556
• GCD of 219, 770, 291, 410
• GCD of 920, 198, 115, 839
• GCD of 975, 573, 180, 714

1. What is the GCD of 714, 457, 628, 710?

GCD of 714, 457, 628, 710 is 1

2. Where do I get the detailed procedure to find GCD of 714, 457, 628, 710?

You can find a detailed procedure to find GCD of 714, 457, 628, 710 on our page.

3. How to find GCD of 714, 457, 628, 710 on a calculator?

You can find the GCD of 714, 457, 628, 710 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.