GCD of 930, 120, 662, 342 Calculator

Given Input numbers are 930, 120, 662, 342

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 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

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

Greatest Common Divisior

We found the divisors of 930, 120, 662, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 120, 662, 342 is 2.

Therefore, GCD of numbers 930, 120, 662, 342 is 2

Given Input Data is 930, 120, 662, 342

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 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 662 is 2 x 331

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

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(930, 120) = 3720

GCD(930, 120) = ( 930 x 120 ) / 3720

GCD(930, 120) = 111600 / 3720

GCD(930, 120) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 662

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

LCM(30, 662) = 9930

GCD(30, 662) = ( 30 x 662 ) / 9930

GCD(30, 662) = 19860 / 9930

GCD(30, 662) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 342

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

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

GCD(2, 342) = 684 / 342

GCD(2, 342) = 2

GCD of 930, 120, 662, 342 is 2

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1. What is the GCD of 930, 120, 662, 342?

GCD of 930, 120, 662, 342 is 2

2. Where do I get the detailed procedure to find GCD of 930, 120, 662, 342?

You can find a detailed procedure to find GCD of 930, 120, 662, 342 on our page.

3. How to find GCD of 930, 120, 662, 342 on a calculator?

You can find the GCD of 930, 120, 662, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.