GCD of 434, 624, 66 Calculator

Given Input numbers are 434, 624, 66

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Greatest Common Divisior

We found the divisors of 434, 624, 66 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 624, 66 is 2.

Therefore, GCD of numbers 434, 624, 66 is 2

Given Input Data is 434, 624, 66

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

Prime Factorization of 434 is 2 x 7 x 31

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

Prime Factorization of 66 is 2 x 3 x 11

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(434, 624) = 135408

GCD(434, 624) = ( 434 x 624 ) / 135408

GCD(434, 624) = 270816 / 135408

GCD(434, 624) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

GCD of 434, 624, 66 is 2

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1. What is the GCD of 434, 624, 66?

GCD of 434, 624, 66 is 2

2. Where do I get the detailed procedure to find GCD of 434, 624, 66?

You can find a detailed procedure to find GCD of 434, 624, 66 on our page.

3. How to find GCD of 434, 624, 66 on a calculator?

You can find the GCD of 434, 624, 66 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.