GCD of 208, 342, 408, 960 Calculator

Given Input numbers are 208, 342, 408, 960

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 208, 342, 408, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 342, 408, 960 is 2.

Therefore, GCD of numbers 208, 342, 408, 960 is 2

Given Input Data is 208, 342, 408, 960

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(208, 342) = 35568

GCD(208, 342) = ( 208 x 342 ) / 35568

GCD(208, 342) = 71136 / 35568

GCD(208, 342) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 408

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

LCM(2, 408) = 408

GCD(2, 408) = ( 2 x 408 ) / 408

GCD(2, 408) = 816 / 408

GCD(2, 408) = 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 208, 342, 408, 960 is 2

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1. What is the GCD of 208, 342, 408, 960?

GCD of 208, 342, 408, 960 is 2

2. Where do I get the detailed procedure to find GCD of 208, 342, 408, 960?

You can find a detailed procedure to find GCD of 208, 342, 408, 960 on our page.

3. How to find GCD of 208, 342, 408, 960 on a calculator?

You can find the GCD of 208, 342, 408, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.