GCD of 184, 476, 732, 978 Calculator

Given Input numbers are 184, 476, 732, 978

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

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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

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 184, 476, 732, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 184, 476, 732, 978 is 2.

Therefore, GCD of numbers 184, 476, 732, 978 is 2

Given Input Data is 184, 476, 732, 978

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

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 476 is 2 x 2 x 7 x 17

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

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(184, 476) = 21896

GCD(184, 476) = ( 184 x 476 ) / 21896

GCD(184, 476) = 87584 / 21896

GCD(184, 476) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 732

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

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

GCD(4, 732) = 2928 / 732

GCD(4, 732) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 978

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

LCM(4, 978) = 1956

GCD(4, 978) = ( 4 x 978 ) / 1956

GCD(4, 978) = 3912 / 1956

GCD(4, 978) = 2

GCD of 184, 476, 732, 978 is 2

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1. What is the GCD of 184, 476, 732, 978?

GCD of 184, 476, 732, 978 is 2

2. Where do I get the detailed procedure to find GCD of 184, 476, 732, 978?

You can find a detailed procedure to find GCD of 184, 476, 732, 978 on our page.

3. How to find GCD of 184, 476, 732, 978 on a calculator?

You can find the GCD of 184, 476, 732, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.