GCD of 366, 879, 948, 351 Calculator

Given Input numbers are 366, 879, 948, 351

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

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 879

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

1, 3, 293, 879

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 366, 879, 948, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 879, 948, 351 is 3.

Therefore, GCD of numbers 366, 879, 948, 351 is 3

Given Input Data is 366, 879, 948, 351

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

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 879 is 3 x 293

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 351 is 3 x 3 x 3 x 13

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(366, 879) = 107238

GCD(366, 879) = ( 366 x 879 ) / 107238

GCD(366, 879) = 321714 / 107238

GCD(366, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 948

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

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

GCD(3, 948) = 2844 / 948

GCD(3, 948) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 351

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

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

GCD(3, 351) = 1053 / 351

GCD(3, 351) = 3

GCD of 366, 879, 948, 351 is 3

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1. What is the GCD of 366, 879, 948, 351?

GCD of 366, 879, 948, 351 is 3

2. Where do I get the detailed procedure to find GCD of 366, 879, 948, 351?

You can find a detailed procedure to find GCD of 366, 879, 948, 351 on our page.

3. How to find GCD of 366, 879, 948, 351 on a calculator?

You can find the GCD of 366, 879, 948, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.