GCD of 612, 978, 183, 732 Calculator

Given Input numbers are 612, 978, 183, 732

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 978

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

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

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 612, 978, 183, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 978, 183, 732 is 3.

Therefore, GCD of numbers 612, 978, 183, 732 is 3

Given Input Data is 612, 978, 183, 732

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 978 is 2 x 3 x 163

Prime Factorization of 183 is 3 x 61

Prime Factorization of 732 is 2 x 2 x 3 x 61

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 978) = 99756

GCD(612, 978) = ( 612 x 978 ) / 99756

GCD(612, 978) = 598536 / 99756

GCD(612, 978) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 183

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

LCM(6, 183) = 366

GCD(6, 183) = ( 6 x 183 ) / 366

GCD(6, 183) = 1098 / 366

GCD(6, 183) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 732

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

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

GCD(3, 732) = 2196 / 732

GCD(3, 732) = 3

GCD of 612, 978, 183, 732 is 3

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1. What is the GCD of 612, 978, 183, 732?

GCD of 612, 978, 183, 732 is 3

2. Where do I get the detailed procedure to find GCD of 612, 978, 183, 732?

You can find a detailed procedure to find GCD of 612, 978, 183, 732 on our page.

3. How to find GCD of 612, 978, 183, 732 on a calculator?

You can find the GCD of 612, 978, 183, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.