GCD of 35, 758, 714, 319 Calculator

Given Input numbers are 35, 758, 714, 319

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

Divisors of 35

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

1, 5, 7, 35

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Greatest Common Divisior

We found the divisors of 35, 758, 714, 319 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 758, 714, 319 is 1.

Therefore, GCD of numbers 35, 758, 714, 319 is 1

Given Input Data is 35, 758, 714, 319

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

Prime Factorization of 35 is 5 x 7

Prime Factorization of 758 is 2 x 379

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

Prime Factorization of 319 is 11 x 29

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(35, 758) = 26530

GCD(35, 758) = ( 35 x 758 ) / 26530

GCD(35, 758) = 26530 / 26530

GCD(35, 758) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 714

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

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

GCD(1, 714) = 714 / 714

GCD(1, 714) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

GCD of 35, 758, 714, 319 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 34, 173, 410, 259
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• GCD of 57, 612, 304, 544
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• GCD of 68, 458, 937, 912

1. What is the GCD of 35, 758, 714, 319?

GCD of 35, 758, 714, 319 is 1

2. Where do I get the detailed procedure to find GCD of 35, 758, 714, 319?

You can find a detailed procedure to find GCD of 35, 758, 714, 319 on our page.

3. How to find GCD of 35, 758, 714, 319 on a calculator?

You can find the GCD of 35, 758, 714, 319 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.