GCD of 692, 424, 48, 524 Calculator

Given Input numbers are 692, 424, 48, 524

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

Divisors of 692

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

1, 2, 4, 173, 346, 692

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 692, 424, 48, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 424, 48, 524 is 4.

Therefore, GCD of numbers 692, 424, 48, 524 is 4

Given Input Data is 692, 424, 48, 524

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 524 is 2 x 2 x 131

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(692, 424) = 73352

GCD(692, 424) = ( 692 x 424 ) / 73352

GCD(692, 424) = 293408 / 73352

GCD(692, 424) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 48

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

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

GCD(4, 48) = 192 / 48

GCD(4, 48) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 524

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

LCM(4, 524) = 524

GCD(4, 524) = ( 4 x 524 ) / 524

GCD(4, 524) = 2096 / 524

GCD(4, 524) = 4

GCD of 692, 424, 48, 524 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 600, 21, 738
• GCD of 527, 293, 75, 806
• GCD of 743, 716, 53, 745
• GCD of 468, 189, 51, 820
• GCD of 327, 734, 10, 702

1. What is the GCD of 692, 424, 48, 524?

GCD of 692, 424, 48, 524 is 4

2. Where do I get the detailed procedure to find GCD of 692, 424, 48, 524?

You can find a detailed procedure to find GCD of 692, 424, 48, 524 on our page.

3. How to find GCD of 692, 424, 48, 524 on a calculator?

You can find the GCD of 692, 424, 48, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.