GCD of 948, 486, 282, 493 Calculator

Given Input numbers are 948, 486, 282, 493

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 948, 486, 282, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 486, 282, 493 is 1.

Therefore, GCD of numbers 948, 486, 282, 493 is 1

Given Input Data is 948, 486, 282, 493

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 493 is 17 x 29

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(948, 486) = 76788

GCD(948, 486) = ( 948 x 486 ) / 76788

GCD(948, 486) = 460728 / 76788

GCD(948, 486) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 282

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

LCM(6, 282) = 282

GCD(6, 282) = ( 6 x 282 ) / 282

GCD(6, 282) = 1692 / 282

GCD(6, 282) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 493

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

LCM(6, 493) = 2958

GCD(6, 493) = ( 6 x 493 ) / 2958

GCD(6, 493) = 2958 / 2958

GCD(6, 493) = 1

GCD of 948, 486, 282, 493 is 1

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1. What is the GCD of 948, 486, 282, 493?

GCD of 948, 486, 282, 493 is 1

2. Where do I get the detailed procedure to find GCD of 948, 486, 282, 493?

You can find a detailed procedure to find GCD of 948, 486, 282, 493 on our page.

3. How to find GCD of 948, 486, 282, 493 on a calculator?

You can find the GCD of 948, 486, 282, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.