GCD of 285, 496, 72, 658 Calculator

Given Input numbers are 285, 496, 72, 658

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

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Greatest Common Divisior

We found the divisors of 285, 496, 72, 658 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 496, 72, 658 is 1.

Therefore, GCD of numbers 285, 496, 72, 658 is 1

Given Input Data is 285, 496, 72, 658

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 658 is 2 x 7 x 47

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(285, 496) = 141360

GCD(285, 496) = ( 285 x 496 ) / 141360

GCD(285, 496) = 141360 / 141360

GCD(285, 496) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

GCD of 285, 496, 72, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 297, 58, 469
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• GCD of 195, 386, 88, 566
• GCD of 601, 268, 76, 678
• GCD of 155, 930, 66, 503

1. What is the GCD of 285, 496, 72, 658?

GCD of 285, 496, 72, 658 is 1

2. Where do I get the detailed procedure to find GCD of 285, 496, 72, 658?

You can find a detailed procedure to find GCD of 285, 496, 72, 658 on our page.

3. How to find GCD of 285, 496, 72, 658 on a calculator?

You can find the GCD of 285, 496, 72, 658 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.