GCD of 960, 393, 678, 930 Calculator

Given Input numbers are 960, 393, 678, 930

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

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 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

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 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Greatest Common Divisior

We found the divisors of 960, 393, 678, 930 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 393, 678, 930 is 3.

Therefore, GCD of numbers 960, 393, 678, 930 is 3

Given Input Data is 960, 393, 678, 930

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

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

Prime Factorization of 393 is 3 x 131

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 930 is 2 x 3 x 5 x 31

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(960, 393) = 125760

GCD(960, 393) = ( 960 x 393 ) / 125760

GCD(960, 393) = 377280 / 125760

GCD(960, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 678

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

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

GCD(3, 678) = 2034 / 678

GCD(3, 678) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 930

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

LCM(3, 930) = 930

GCD(3, 930) = ( 3 x 930 ) / 930

GCD(3, 930) = 2790 / 930

GCD(3, 930) = 3

GCD of 960, 393, 678, 930 is 3

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1. What is the GCD of 960, 393, 678, 930?

GCD of 960, 393, 678, 930 is 3

2. Where do I get the detailed procedure to find GCD of 960, 393, 678, 930?

You can find a detailed procedure to find GCD of 960, 393, 678, 930 on our page.

3. How to find GCD of 960, 393, 678, 930 on a calculator?

You can find the GCD of 960, 393, 678, 930 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.