GCD of 732, 646, 24, 546 Calculator

Given Input numbers are 732, 646, 24, 546

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

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 732, 646, 24, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 732, 646, 24, 546 is 2.

Therefore, GCD of numbers 732, 646, 24, 546 is 2

Given Input Data is 732, 646, 24, 546

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

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 546 is 2 x 3 x 7 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(732, 646) = 236436

GCD(732, 646) = ( 732 x 646 ) / 236436

GCD(732, 646) = 472872 / 236436

GCD(732, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 24

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

LCM(2, 24) = 24

GCD(2, 24) = ( 2 x 24 ) / 24

GCD(2, 24) = 48 / 24

GCD(2, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 546

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

LCM(2, 546) = 546

GCD(2, 546) = ( 2 x 546 ) / 546

GCD(2, 546) = 1092 / 546

GCD(2, 546) = 2

GCD of 732, 646, 24, 546 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 228, 275, 16, 625
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• GCD of 631, 531, 28, 998
• GCD of 982, 382, 67, 912
• GCD of 330, 691, 26, 221

1. What is the GCD of 732, 646, 24, 546?

GCD of 732, 646, 24, 546 is 2

2. Where do I get the detailed procedure to find GCD of 732, 646, 24, 546?

You can find a detailed procedure to find GCD of 732, 646, 24, 546 on our page.

3. How to find GCD of 732, 646, 24, 546 on a calculator?

You can find the GCD of 732, 646, 24, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.