GCD of 472, 966, 94, 624 Calculator

Given Input numbers are 472, 966, 94, 624

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 472, 966, 94, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 966, 94, 624 is 2.

Therefore, GCD of numbers 472, 966, 94, 624 is 2

Given Input Data is 472, 966, 94, 624

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 94 is 2 x 47

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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(472, 966) = 227976

GCD(472, 966) = ( 472 x 966 ) / 227976

GCD(472, 966) = 455952 / 227976

GCD(472, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 94

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

LCM(2, 94) = 94

GCD(2, 94) = ( 2 x 94 ) / 94

GCD(2, 94) = 188 / 94

GCD(2, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 624

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

LCM(2, 624) = 624

GCD(2, 624) = ( 2 x 624 ) / 624

GCD(2, 624) = 1248 / 624

GCD(2, 624) = 2

GCD of 472, 966, 94, 624 is 2

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1. What is the GCD of 472, 966, 94, 624?

GCD of 472, 966, 94, 624 is 2

2. Where do I get the detailed procedure to find GCD of 472, 966, 94, 624?

You can find a detailed procedure to find GCD of 472, 966, 94, 624 on our page.

3. How to find GCD of 472, 966, 94, 624 on a calculator?

You can find the GCD of 472, 966, 94, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.