GCD of 195, 514, 49, 616 Calculator

Given Input numbers are 195, 514, 49, 616

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 514

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

1, 2, 257, 514

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 195, 514, 49, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 514, 49, 616 is 1.

Therefore, GCD of numbers 195, 514, 49, 616 is 1

Given Input Data is 195, 514, 49, 616

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 514 is 2 x 257

Prime Factorization of 49 is 7 x 7

Prime Factorization of 616 is 2 x 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(195, 514) = 100230

GCD(195, 514) = ( 195 x 514 ) / 100230

GCD(195, 514) = 100230 / 100230

GCD(195, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 616

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

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

GCD(1, 616) = 616 / 616

GCD(1, 616) = 1

GCD of 195, 514, 49, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 687, 20, 191
• GCD of 100, 467, 66, 553
• GCD of 268, 362, 80, 466
• GCD of 139, 738, 15, 326
• GCD of 581, 340, 49, 729

1. What is the GCD of 195, 514, 49, 616?

GCD of 195, 514, 49, 616 is 1

2. Where do I get the detailed procedure to find GCD of 195, 514, 49, 616?

You can find a detailed procedure to find GCD of 195, 514, 49, 616 on our page.

3. How to find GCD of 195, 514, 49, 616 on a calculator?

You can find the GCD of 195, 514, 49, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.