GCD of 30, 960, 298, 688 Calculator

Given Input numbers are 30, 960, 298, 688

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

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 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 30, 960, 298, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 960, 298, 688 is 2.

Therefore, GCD of numbers 30, 960, 298, 688 is 2

Given Input Data is 30, 960, 298, 688

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

Prime Factorization of 30 is 2 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 298 is 2 x 149

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(30, 960) = 960

GCD(30, 960) = ( 30 x 960 ) / 960

GCD(30, 960) = 28800 / 960

GCD(30, 960) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 298

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

LCM(30, 298) = 4470

GCD(30, 298) = ( 30 x 298 ) / 4470

GCD(30, 298) = 8940 / 4470

GCD(30, 298) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 30, 960, 298, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 498, 824, 603
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• GCD of 26, 641, 432, 423
• GCD of 26, 950, 293, 952
• GCD of 22, 864, 272, 372

1. What is the GCD of 30, 960, 298, 688?

GCD of 30, 960, 298, 688 is 2

2. Where do I get the detailed procedure to find GCD of 30, 960, 298, 688?

You can find a detailed procedure to find GCD of 30, 960, 298, 688 on our page.

3. How to find GCD of 30, 960, 298, 688 on a calculator?

You can find the GCD of 30, 960, 298, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.