GCD of 720, 588, 99, 245 Calculator

Given Input numbers are 720, 588, 99, 245

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Greatest Common Divisior

We found the divisors of 720, 588, 99, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 588, 99, 245 is 1.

Therefore, GCD of numbers 720, 588, 99, 245 is 1

Given Input Data is 720, 588, 99, 245

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 245 is 5 x 7 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(720, 588) = 35280

GCD(720, 588) = ( 720 x 588 ) / 35280

GCD(720, 588) = 423360 / 35280

GCD(720, 588) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 99

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

LCM(12, 99) = 396

GCD(12, 99) = ( 12 x 99 ) / 396

GCD(12, 99) = 1188 / 396

GCD(12, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 245

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

LCM(3, 245) = 735

GCD(3, 245) = ( 3 x 245 ) / 735

GCD(3, 245) = 735 / 735

GCD(3, 245) = 1

GCD of 720, 588, 99, 245 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 902, 15, 580
• GCD of 517, 338, 47, 476
• GCD of 351, 700, 47, 347
• GCD of 772, 727, 39, 540
• GCD of 352, 296, 34, 602

1. What is the GCD of 720, 588, 99, 245?

GCD of 720, 588, 99, 245 is 1

2. Where do I get the detailed procedure to find GCD of 720, 588, 99, 245?

You can find a detailed procedure to find GCD of 720, 588, 99, 245 on our page.

3. How to find GCD of 720, 588, 99, 245 on a calculator?

You can find the GCD of 720, 588, 99, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.