GCD of 705, 725, 79, 286 Calculator

Given Input numbers are 705, 725, 79, 286

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 705, 725, 79, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 725, 79, 286 is 1.

Therefore, GCD of numbers 705, 725, 79, 286 is 1

Given Input Data is 705, 725, 79, 286

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 79 is 79

Prime Factorization of 286 is 2 x 11 x 13

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(705, 725) = 102225

GCD(705, 725) = ( 705 x 725 ) / 102225

GCD(705, 725) = 511125 / 102225

GCD(705, 725) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 79

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

LCM(5, 79) = 395

GCD(5, 79) = ( 5 x 79 ) / 395

GCD(5, 79) = 395 / 395

GCD(5, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 705, 725, 79, 286 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 604, 28, 694
• GCD of 607, 173, 48, 396
• GCD of 779, 182, 46, 714
• GCD of 565, 929, 75, 245
• GCD of 918, 829, 22, 395

1. What is the GCD of 705, 725, 79, 286?

GCD of 705, 725, 79, 286 is 1

2. Where do I get the detailed procedure to find GCD of 705, 725, 79, 286?

You can find a detailed procedure to find GCD of 705, 725, 79, 286 on our page.

3. How to find GCD of 705, 725, 79, 286 on a calculator?

You can find the GCD of 705, 725, 79, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.