GCD of 707, 514, 298 Calculator

Given Input numbers are 707, 514, 298

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Greatest Common Divisior

We found the divisors of 707, 514, 298 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 514, 298 is 1.

Therefore, GCD of numbers 707, 514, 298 is 1

Given Input Data is 707, 514, 298

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 514 is 2 x 257

Prime Factorization of 298 is 2 x 149

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(707, 514) = 363398

GCD(707, 514) = ( 707 x 514 ) / 363398

GCD(707, 514) = 363398 / 363398

GCD(707, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 298

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

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

GCD(1, 298) = 298 / 298

GCD(1, 298) = 1

GCD of 707, 514, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 266, 183
• GCD of 234, 294, 935
• GCD of 627, 379, 258
• GCD of 473, 956, 720
• GCD of 150, 805, 658

1. What is the GCD of 707, 514, 298?

GCD of 707, 514, 298 is 1

2. Where do I get the detailed procedure to find GCD of 707, 514, 298?

You can find a detailed procedure to find GCD of 707, 514, 298 on our page.

3. How to find GCD of 707, 514, 298 on a calculator?

You can find the GCD of 707, 514, 298 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.