GCD of 692, 742, 504, 285 Calculator

Given Input numbers are 692, 742, 504, 285

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Greatest Common Divisior

We found the divisors of 692, 742, 504, 285 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 742, 504, 285 is 1.

Therefore, GCD of numbers 692, 742, 504, 285 is 1

Given Input Data is 692, 742, 504, 285

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 742 is 2 x 7 x 53

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 285 is 3 x 5 x 19

The above numbers do not have any common prime factor. So GCD is 1

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, 742) = 256732

GCD(692, 742) = ( 692 x 742 ) / 256732

GCD(692, 742) = 513464 / 256732

GCD(692, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 504

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

LCM(2, 504) = 504

GCD(2, 504) = ( 2 x 504 ) / 504

GCD(2, 504) = 1008 / 504

GCD(2, 504) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 285

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

LCM(2, 285) = 570

GCD(2, 285) = ( 2 x 285 ) / 570

GCD(2, 285) = 570 / 570

GCD(2, 285) = 1

GCD of 692, 742, 504, 285 is 1

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1. What is the GCD of 692, 742, 504, 285?

GCD of 692, 742, 504, 285 is 1

2. Where do I get the detailed procedure to find GCD of 692, 742, 504, 285?

You can find a detailed procedure to find GCD of 692, 742, 504, 285 on our page.

3. How to find GCD of 692, 742, 504, 285 on a calculator?

You can find the GCD of 692, 742, 504, 285 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.