GCD of 916, 870, 348, 960 Calculator

Given Input numbers are 916, 870, 348, 960

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

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Greatest Common Divisior

We found the divisors of 916, 870, 348, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 870, 348, 960 is 2.

Therefore, GCD of numbers 916, 870, 348, 960 is 2

Given Input Data is 916, 870, 348, 960

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

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 870 is 2 x 3 x 5 x 29

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

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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(916, 870) = 398460

GCD(916, 870) = ( 916 x 870 ) / 398460

GCD(916, 870) = 796920 / 398460

GCD(916, 870) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

GCD of 916, 870, 348, 960 is 2

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1. What is the GCD of 916, 870, 348, 960?

GCD of 916, 870, 348, 960 is 2

2. Where do I get the detailed procedure to find GCD of 916, 870, 348, 960?

You can find a detailed procedure to find GCD of 916, 870, 348, 960 on our page.

3. How to find GCD of 916, 870, 348, 960 on a calculator?

You can find the GCD of 916, 870, 348, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.