GCD of 498, 852, 71, 879 Calculator

Given Input numbers are 498, 852, 71, 879

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 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 498, 852, 71, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 852, 71, 879 is 1.

Therefore, GCD of numbers 498, 852, 71, 879 is 1

Given Input Data is 498, 852, 71, 879

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 852 is 2 x 2 x 3 x 71

Prime Factorization of 71 is 71

Prime Factorization of 879 is 3 x 293

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, 852) = 70716

GCD(498, 852) = ( 498 x 852 ) / 70716

GCD(498, 852) = 424296 / 70716

GCD(498, 852) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 71

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

LCM(6, 71) = 426

GCD(6, 71) = ( 6 x 71 ) / 426

GCD(6, 71) = 426 / 426

GCD(6, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 879

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

LCM(1, 879) = 879

GCD(1, 879) = ( 1 x 879 ) / 879

GCD(1, 879) = 879 / 879

GCD(1, 879) = 1

GCD of 498, 852, 71, 879 is 1

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1. What is the GCD of 498, 852, 71, 879?

GCD of 498, 852, 71, 879 is 1

2. Where do I get the detailed procedure to find GCD of 498, 852, 71, 879?

You can find a detailed procedure to find GCD of 498, 852, 71, 879 on our page.

3. How to find GCD of 498, 852, 71, 879 on a calculator?

You can find the GCD of 498, 852, 71, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.