GCD of 714, 935, 42, 709 Calculator

Given Input numbers are 714, 935, 42, 709

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 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 714, 935, 42, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 935, 42, 709 is 1.

Therefore, GCD of numbers 714, 935, 42, 709 is 1

Given Input Data is 714, 935, 42, 709

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 935 is 5 x 11 x 17

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 709 is 709

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, 935) = 39270

GCD(714, 935) = ( 714 x 935 ) / 39270

GCD(714, 935) = 667590 / 39270

GCD(714, 935) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 42

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

LCM(17, 42) = 714

GCD(17, 42) = ( 17 x 42 ) / 714

GCD(17, 42) = 714 / 714

GCD(17, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 714, 935, 42, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 842, 42, 477
• GCD of 883, 178, 11, 132
• GCD of 256, 815, 54, 429
• GCD of 507, 160, 75, 211
• GCD of 931, 659, 16, 565

1. What is the GCD of 714, 935, 42, 709?

GCD of 714, 935, 42, 709 is 1

2. Where do I get the detailed procedure to find GCD of 714, 935, 42, 709?

You can find a detailed procedure to find GCD of 714, 935, 42, 709 on our page.

3. How to find GCD of 714, 935, 42, 709 on a calculator?

You can find the GCD of 714, 935, 42, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.