GCD of 884, 970, 856, 348 Calculator

Given Input numbers are 884, 970, 856, 348

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

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 884, 970, 856, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 884, 970, 856, 348 is 2.

Therefore, GCD of numbers 884, 970, 856, 348 is 2

Given Input Data is 884, 970, 856, 348

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

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 856 is 2 x 2 x 2 x 107

Prime Factorization of 348 is 2 x 2 x 3 x 29

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(884, 970) = 428740

GCD(884, 970) = ( 884 x 970 ) / 428740

GCD(884, 970) = 857480 / 428740

GCD(884, 970) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 856

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

LCM(2, 856) = 856

GCD(2, 856) = ( 2 x 856 ) / 856

GCD(2, 856) = 1712 / 856

GCD(2, 856) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

GCD of 884, 970, 856, 348 is 2

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1. What is the GCD of 884, 970, 856, 348?

GCD of 884, 970, 856, 348 is 2

2. Where do I get the detailed procedure to find GCD of 884, 970, 856, 348?

You can find a detailed procedure to find GCD of 884, 970, 856, 348 on our page.

3. How to find GCD of 884, 970, 856, 348 on a calculator?

You can find the GCD of 884, 970, 856, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.