GCD of 995, 285, 693, 462 Calculator

Given Input numbers are 995, 285, 693, 462

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

Divisors of 995

List of positive integer divisors of 995 that divides 995 without a remainder.

1, 5, 199, 995

Divisors of 285

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

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

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

Greatest Common Divisior

We found the divisors of 995, 285, 693, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 995, 285, 693, 462 is 1.

Therefore, GCD of numbers 995, 285, 693, 462 is 1

Given Input Data is 995, 285, 693, 462

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

Prime Factorization of 995 is 5 x 199

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 693 is 3 x 3 x 7 x 11

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

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(995, 285) = 56715

GCD(995, 285) = ( 995 x 285 ) / 56715

GCD(995, 285) = 283575 / 56715

GCD(995, 285) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 693

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

LCM(5, 693) = 3465

GCD(5, 693) = ( 5 x 693 ) / 3465

GCD(5, 693) = 3465 / 3465

GCD(5, 693) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

GCD of 995, 285, 693, 462 is 1

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1. What is the GCD of 995, 285, 693, 462?

GCD of 995, 285, 693, 462 is 1

2. Where do I get the detailed procedure to find GCD of 995, 285, 693, 462?

You can find a detailed procedure to find GCD of 995, 285, 693, 462 on our page.

3. How to find GCD of 995, 285, 693, 462 on a calculator?

You can find the GCD of 995, 285, 693, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.