GCD of 930, 330, 460, 970 Calculator

Given Input numbers are 930, 330, 460, 970

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

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

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 930, 330, 460, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 330, 460, 970 is 10.

Therefore, GCD of numbers 930, 330, 460, 970 is 10

Given Input Data is 930, 330, 460, 970

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

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

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 970 is 2 x 5 x 97

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(930, 330) = 10230

GCD(930, 330) = ( 930 x 330 ) / 10230

GCD(930, 330) = 306900 / 10230

GCD(930, 330) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 460

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

LCM(30, 460) = 1380

GCD(30, 460) = ( 30 x 460 ) / 1380

GCD(30, 460) = 13800 / 1380

GCD(30, 460) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 970

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

LCM(10, 970) = 970

GCD(10, 970) = ( 10 x 970 ) / 970

GCD(10, 970) = 9700 / 970

GCD(10, 970) = 10

GCD of 930, 330, 460, 970 is 10

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1. What is the GCD of 930, 330, 460, 970?

GCD of 930, 330, 460, 970 is 10

2. Where do I get the detailed procedure to find GCD of 930, 330, 460, 970?

You can find a detailed procedure to find GCD of 930, 330, 460, 970 on our page.

3. How to find GCD of 930, 330, 460, 970 on a calculator?

You can find the GCD of 930, 330, 460, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.