GCD of 692, 652, 52, 502 Calculator

Given Input numbers are 692, 652, 52, 502

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 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 692, 652, 52, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 652, 52, 502 is 2.

Therefore, GCD of numbers 692, 652, 52, 502 is 2

Given Input Data is 692, 652, 52, 502

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 652 is 2 x 2 x 163

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 502 is 2 x 251

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(692, 652) = 112796

GCD(692, 652) = ( 692 x 652 ) / 112796

GCD(692, 652) = 451184 / 112796

GCD(692, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 502

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

LCM(4, 502) = 1004

GCD(4, 502) = ( 4 x 502 ) / 1004

GCD(4, 502) = 2008 / 1004

GCD(4, 502) = 2

GCD of 692, 652, 52, 502 is 2

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1. What is the GCD of 692, 652, 52, 502?

GCD of 692, 652, 52, 502 is 2

2. Where do I get the detailed procedure to find GCD of 692, 652, 52, 502?

You can find a detailed procedure to find GCD of 692, 652, 52, 502 on our page.

3. How to find GCD of 692, 652, 52, 502 on a calculator?

You can find the GCD of 692, 652, 52, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.