GCD of 798, 616, 52, 185 Calculator

Given Input numbers are 798, 616, 52, 185

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Greatest Common Divisior

We found the divisors of 798, 616, 52, 185 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 616, 52, 185 is 1.

Therefore, GCD of numbers 798, 616, 52, 185 is 1

Given Input Data is 798, 616, 52, 185

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 185 is 5 x 37

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(798, 616) = 35112

GCD(798, 616) = ( 798 x 616 ) / 35112

GCD(798, 616) = 491568 / 35112

GCD(798, 616) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 52

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

LCM(14, 52) = 364

GCD(14, 52) = ( 14 x 52 ) / 364

GCD(14, 52) = 728 / 364

GCD(14, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 185

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

LCM(2, 185) = 370

GCD(2, 185) = ( 2 x 185 ) / 370

GCD(2, 185) = 370 / 370

GCD(2, 185) = 1

GCD of 798, 616, 52, 185 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 635, 74, 836
• GCD of 114, 105, 37, 666
• GCD of 229, 951, 50, 996
• GCD of 335, 515, 28, 410
• GCD of 972, 842, 71, 251

1. What is the GCD of 798, 616, 52, 185?

GCD of 798, 616, 52, 185 is 1

2. Where do I get the detailed procedure to find GCD of 798, 616, 52, 185?

You can find a detailed procedure to find GCD of 798, 616, 52, 185 on our page.

3. How to find GCD of 798, 616, 52, 185 on a calculator?

You can find the GCD of 798, 616, 52, 185 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.