GCD of 498, 755, 52, 814 Calculator

Given Input numbers are 498, 755, 52, 814

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 52

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

1, 2, 4, 13, 26, 52

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 498, 755, 52, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 755, 52, 814 is 1.

Therefore, GCD of numbers 498, 755, 52, 814 is 1

Given Input Data is 498, 755, 52, 814

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 755 is 5 x 151

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 814 is 2 x 11 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(498, 755) = 375990

GCD(498, 755) = ( 498 x 755 ) / 375990

GCD(498, 755) = 375990 / 375990

GCD(498, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 498, 755, 52, 814 is 1

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1. What is the GCD of 498, 755, 52, 814?

GCD of 498, 755, 52, 814 is 1

2. Where do I get the detailed procedure to find GCD of 498, 755, 52, 814?

You can find a detailed procedure to find GCD of 498, 755, 52, 814 on our page.

3. How to find GCD of 498, 755, 52, 814 on a calculator?

You can find the GCD of 498, 755, 52, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.