GCD of 714, 578, 273, 350 Calculator

Given Input numbers are 714, 578, 273, 350

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 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 714, 578, 273, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 578, 273, 350 is 1.

Therefore, GCD of numbers 714, 578, 273, 350 is 1

Given Input Data is 714, 578, 273, 350

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 578 is 2 x 17 x 17

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 350 is 2 x 5 x 5 x 7

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, 578) = 12138

GCD(714, 578) = ( 714 x 578 ) / 12138

GCD(714, 578) = 412692 / 12138

GCD(714, 578) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 273

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

LCM(34, 273) = 9282

GCD(34, 273) = ( 34 x 273 ) / 9282

GCD(34, 273) = 9282 / 9282

GCD(34, 273) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 714, 578, 273, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 580, 641, 226
• GCD of 808, 657, 725, 679
• GCD of 946, 535, 241, 358
• GCD of 320, 785, 403, 537
• GCD of 307, 735, 784, 245

1. What is the GCD of 714, 578, 273, 350?

GCD of 714, 578, 273, 350 is 1

2. Where do I get the detailed procedure to find GCD of 714, 578, 273, 350?

You can find a detailed procedure to find GCD of 714, 578, 273, 350 on our page.

3. How to find GCD of 714, 578, 273, 350 on a calculator?

You can find the GCD of 714, 578, 273, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.