GCD of 52, 499, 735, 849 Calculator

Given Input numbers are 52, 499, 735, 849

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

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 52, 499, 735, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 499, 735, 849 is 1.

Therefore, GCD of numbers 52, 499, 735, 849 is 1

Given Input Data is 52, 499, 735, 849

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 499 is 499

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 849 is 3 x 283

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(52, 499) = 25948

GCD(52, 499) = ( 52 x 499 ) / 25948

GCD(52, 499) = 25948 / 25948

GCD(52, 499) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 849

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

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

GCD(1, 849) = 849 / 849

GCD(1, 849) = 1

GCD of 52, 499, 735, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 88, 915, 338, 111
• GCD of 13, 348, 331, 532
• GCD of 91, 864, 128, 442
• GCD of 10, 713, 766, 554
• GCD of 18, 760, 735, 348

1. What is the GCD of 52, 499, 735, 849?

GCD of 52, 499, 735, 849 is 1

2. Where do I get the detailed procedure to find GCD of 52, 499, 735, 849?

You can find a detailed procedure to find GCD of 52, 499, 735, 849 on our page.

3. How to find GCD of 52, 499, 735, 849 on a calculator?

You can find the GCD of 52, 499, 735, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.