GCD of 120, 586, 28, 978 Calculator

Given Input numbers are 120, 586, 28, 978

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

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 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 120, 586, 28, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 586, 28, 978 is 2.

Therefore, GCD of numbers 120, 586, 28, 978 is 2

Given Input Data is 120, 586, 28, 978

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 586 is 2 x 293

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 978 is 2 x 3 x 163

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(120, 586) = 35160

GCD(120, 586) = ( 120 x 586 ) / 35160

GCD(120, 586) = 70320 / 35160

GCD(120, 586) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 978

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

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

GCD(2, 978) = 1956 / 978

GCD(2, 978) = 2

GCD of 120, 586, 28, 978 is 2

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1. What is the GCD of 120, 586, 28, 978?

GCD of 120, 586, 28, 978 is 2

2. Where do I get the detailed procedure to find GCD of 120, 586, 28, 978?

You can find a detailed procedure to find GCD of 120, 586, 28, 978 on our page.

3. How to find GCD of 120, 586, 28, 978 on a calculator?

You can find the GCD of 120, 586, 28, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.