GCD of 612, 674, 388, 480 Calculator

Given Input numbers are 612, 674, 388, 480

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 388

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

1, 2, 4, 97, 194, 388

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Greatest Common Divisior

We found the divisors of 612, 674, 388, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 674, 388, 480 is 2.

Therefore, GCD of numbers 612, 674, 388, 480 is 2

Given Input Data is 612, 674, 388, 480

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 674 is 2 x 337

Prime Factorization of 388 is 2 x 2 x 97

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

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(612, 674) = 206244

GCD(612, 674) = ( 612 x 674 ) / 206244

GCD(612, 674) = 412488 / 206244

GCD(612, 674) = 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 480

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

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

GCD(2, 480) = 960 / 480

GCD(2, 480) = 2

GCD of 612, 674, 388, 480 is 2

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1. What is the GCD of 612, 674, 388, 480?

GCD of 612, 674, 388, 480 is 2

2. Where do I get the detailed procedure to find GCD of 612, 674, 388, 480?

You can find a detailed procedure to find GCD of 612, 674, 388, 480 on our page.

3. How to find GCD of 612, 674, 388, 480 on a calculator?

You can find the GCD of 612, 674, 388, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.