GCD of 879, 801, 36, 354 Calculator

Given Input numbers are 879, 801, 36, 354

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 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 879, 801, 36, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 801, 36, 354 is 3.

Therefore, GCD of numbers 879, 801, 36, 354 is 3

Given Input Data is 879, 801, 36, 354

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

Prime Factorization of 879 is 3 x 293

Prime Factorization of 801 is 3 x 3 x 89

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 354 is 2 x 3 x 59

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, 801) = 234693

GCD(879, 801) = ( 879 x 801 ) / 234693

GCD(879, 801) = 704079 / 234693

GCD(879, 801) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 36

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

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

GCD(3, 36) = 108 / 36

GCD(3, 36) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 354

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

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

GCD(3, 354) = 1062 / 354

GCD(3, 354) = 3

GCD of 879, 801, 36, 354 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 866, 38, 355
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• GCD of 602, 139, 38, 918
• GCD of 289, 979, 21, 352

1. What is the GCD of 879, 801, 36, 354?

GCD of 879, 801, 36, 354 is 3

2. Where do I get the detailed procedure to find GCD of 879, 801, 36, 354?

You can find a detailed procedure to find GCD of 879, 801, 36, 354 on our page.

3. How to find GCD of 879, 801, 36, 354 on a calculator?

You can find the GCD of 879, 801, 36, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.