GCD of 710, 680, 35, 403 Calculator

Given Input numbers are 710, 680, 35, 403

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

Divisors of 710

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

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 710, 680, 35, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 710, 680, 35, 403 is 1.

Therefore, GCD of numbers 710, 680, 35, 403 is 1

Given Input Data is 710, 680, 35, 403

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

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 35 is 5 x 7

Prime Factorization of 403 is 13 x 31

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(710, 680) = 48280

GCD(710, 680) = ( 710 x 680 ) / 48280

GCD(710, 680) = 482800 / 48280

GCD(710, 680) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 35

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

LCM(10, 35) = 70

GCD(10, 35) = ( 10 x 35 ) / 70

GCD(10, 35) = 350 / 70

GCD(10, 35) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 403

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

LCM(5, 403) = 2015

GCD(5, 403) = ( 5 x 403 ) / 2015

GCD(5, 403) = 2015 / 2015

GCD(5, 403) = 1

GCD of 710, 680, 35, 403 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 447, 57, 160
• GCD of 405, 173, 53, 678
• GCD of 625, 240, 28, 182
• GCD of 830, 227, 86, 408
• GCD of 378, 919, 17, 660

1. What is the GCD of 710, 680, 35, 403?

GCD of 710, 680, 35, 403 is 1

2. Where do I get the detailed procedure to find GCD of 710, 680, 35, 403?

You can find a detailed procedure to find GCD of 710, 680, 35, 403 on our page.

3. How to find GCD of 710, 680, 35, 403 on a calculator?

You can find the GCD of 710, 680, 35, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.