GCD of 270, 960, 678, 944 Calculator

Given Input numbers are 270, 960, 678, 944

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

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 270, 960, 678, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 960, 678, 944 is 2.

Therefore, GCD of numbers 270, 960, 678, 944 is 2

Given Input Data is 270, 960, 678, 944

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

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(270, 960) = 8640

GCD(270, 960) = ( 270 x 960 ) / 8640

GCD(270, 960) = 259200 / 8640

GCD(270, 960) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 678

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

LCM(30, 678) = 3390

GCD(30, 678) = ( 30 x 678 ) / 3390

GCD(30, 678) = 20340 / 3390

GCD(30, 678) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 944

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

LCM(6, 944) = 2832

GCD(6, 944) = ( 6 x 944 ) / 2832

GCD(6, 944) = 5664 / 2832

GCD(6, 944) = 2

GCD of 270, 960, 678, 944 is 2

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1. What is the GCD of 270, 960, 678, 944?

GCD of 270, 960, 678, 944 is 2

2. Where do I get the detailed procedure to find GCD of 270, 960, 678, 944?

You can find a detailed procedure to find GCD of 270, 960, 678, 944 on our page.

3. How to find GCD of 270, 960, 678, 944 on a calculator?

You can find the GCD of 270, 960, 678, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.