GCD of 462, 692, 24, 528 Calculator

Given Input numbers are 462, 692, 24, 528

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

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 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 462, 692, 24, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 692, 24, 528 is 2.

Therefore, GCD of numbers 462, 692, 24, 528 is 2

Given Input Data is 462, 692, 24, 528

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 692 is 2 x 2 x 173

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

Prime Factorization of 528 is 2 x 2 x 2 x 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(462, 692) = 159852

GCD(462, 692) = ( 462 x 692 ) / 159852

GCD(462, 692) = 319704 / 159852

GCD(462, 692) = 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 528

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

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

GCD(2, 528) = 1056 / 528

GCD(2, 528) = 2

GCD of 462, 692, 24, 528 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 697, 703, 32, 383
• GCD of 488, 106, 54, 472
• GCD of 995, 185, 70, 566
• GCD of 754, 388, 80, 488
• GCD of 331, 465, 62, 515

1. What is the GCD of 462, 692, 24, 528?

GCD of 462, 692, 24, 528 is 2

2. Where do I get the detailed procedure to find GCD of 462, 692, 24, 528?

You can find a detailed procedure to find GCD of 462, 692, 24, 528 on our page.

3. How to find GCD of 462, 692, 24, 528 on a calculator?

You can find the GCD of 462, 692, 24, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.