GCD of 616, 464, 49, 106 Calculator

Given Input numbers are 616, 464, 49, 106

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

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 49

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

1, 7, 49

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 616, 464, 49, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 464, 49, 106 is 1.

Therefore, GCD of numbers 616, 464, 49, 106 is 1

Given Input Data is 616, 464, 49, 106

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

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 49 is 7 x 7

Prime Factorization of 106 is 2 x 53

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(616, 464) = 35728

GCD(616, 464) = ( 616 x 464 ) / 35728

GCD(616, 464) = 285824 / 35728

GCD(616, 464) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 49

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

LCM(8, 49) = 392

GCD(8, 49) = ( 8 x 49 ) / 392

GCD(8, 49) = 392 / 392

GCD(8, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 616, 464, 49, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 248, 36, 361
• GCD of 621, 126, 59, 194
• GCD of 580, 270, 95, 455
• GCD of 999, 161, 30, 162
• GCD of 486, 900, 69, 221

1. What is the GCD of 616, 464, 49, 106?

GCD of 616, 464, 49, 106 is 1

2. Where do I get the detailed procedure to find GCD of 616, 464, 49, 106?

You can find a detailed procedure to find GCD of 616, 464, 49, 106 on our page.

3. How to find GCD of 616, 464, 49, 106 on a calculator?

You can find the GCD of 616, 464, 49, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.