GCD of 46, 978, 388, 608 Calculator

Given Input numbers are 46, 978, 388, 608

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 978

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

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

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Greatest Common Divisior

We found the divisors of 46, 978, 388, 608 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 978, 388, 608 is 2.

Therefore, GCD of numbers 46, 978, 388, 608 is 2

Given Input Data is 46, 978, 388, 608

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 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(46, 978) = 22494

GCD(46, 978) = ( 46 x 978 ) / 22494

GCD(46, 978) = 44988 / 22494

GCD(46, 978) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 388

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

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

GCD(2, 388) = 776 / 388

GCD(2, 388) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 608

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

LCM(2, 608) = 608

GCD(2, 608) = ( 2 x 608 ) / 608

GCD(2, 608) = 1216 / 608

GCD(2, 608) = 2

GCD of 46, 978, 388, 608 is 2

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1. What is the GCD of 46, 978, 388, 608?

GCD of 46, 978, 388, 608 is 2

2. Where do I get the detailed procedure to find GCD of 46, 978, 388, 608?

You can find a detailed procedure to find GCD of 46, 978, 388, 608 on our page.

3. How to find GCD of 46, 978, 388, 608 on a calculator?

You can find the GCD of 46, 978, 388, 608 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.