GCD of 245, 524, 14, 308 Calculator

Given Input numbers are 245, 524, 14, 308

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

Divisors of 245

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

1, 5, 7, 35, 49, 245

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 245, 524, 14, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 245, 524, 14, 308 is 1.

Therefore, GCD of numbers 245, 524, 14, 308 is 1

Given Input Data is 245, 524, 14, 308

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

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 14 is 2 x 7

Prime Factorization of 308 is 2 x 2 x 7 x 11

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(245, 524) = 128380

GCD(245, 524) = ( 245 x 524 ) / 128380

GCD(245, 524) = 128380 / 128380

GCD(245, 524) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 245, 524, 14, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 472, 91, 996
• GCD of 852, 273, 98, 902
• GCD of 144, 451, 11, 593
• GCD of 722, 970, 65, 305
• GCD of 796, 828, 85, 480

1. What is the GCD of 245, 524, 14, 308?

GCD of 245, 524, 14, 308 is 1

2. Where do I get the detailed procedure to find GCD of 245, 524, 14, 308?

You can find a detailed procedure to find GCD of 245, 524, 14, 308 on our page.

3. How to find GCD of 245, 524, 14, 308 on a calculator?

You can find the GCD of 245, 524, 14, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.