GCD of 879, 129, 357, 498 Calculator

Given Input numbers are 879, 129, 357, 498

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

Divisors of 879

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

1, 3, 293, 879

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 498

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

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

Greatest Common Divisior

We found the divisors of 879, 129, 357, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 129, 357, 498 is 3.

Therefore, GCD of numbers 879, 129, 357, 498 is 3

Given Input Data is 879, 129, 357, 498

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

Prime Factorization of 879 is 3 x 293

Prime Factorization of 129 is 3 x 43

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 498 is 2 x 3 x 83

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(879, 129) = 37797

GCD(879, 129) = ( 879 x 129 ) / 37797

GCD(879, 129) = 113391 / 37797

GCD(879, 129) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 357

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

LCM(3, 357) = 357

GCD(3, 357) = ( 3 x 357 ) / 357

GCD(3, 357) = 1071 / 357

GCD(3, 357) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 498

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

LCM(3, 498) = 498

GCD(3, 498) = ( 3 x 498 ) / 498

GCD(3, 498) = 1494 / 498

GCD(3, 498) = 3

GCD of 879, 129, 357, 498 is 3

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1. What is the GCD of 879, 129, 357, 498?

GCD of 879, 129, 357, 498 is 3

2. Where do I get the detailed procedure to find GCD of 879, 129, 357, 498?

You can find a detailed procedure to find GCD of 879, 129, 357, 498 on our page.

3. How to find GCD of 879, 129, 357, 498 on a calculator?

You can find the GCD of 879, 129, 357, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.