GCD of 525, 732, 489, 286 Calculator

Given Input numbers are 525, 732, 489, 286

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 525, 732, 489, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 732, 489, 286 is 1.

Therefore, GCD of numbers 525, 732, 489, 286 is 1

Given Input Data is 525, 732, 489, 286

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 489 is 3 x 163

Prime Factorization of 286 is 2 x 11 x 13

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(525, 732) = 128100

GCD(525, 732) = ( 525 x 732 ) / 128100

GCD(525, 732) = 384300 / 128100

GCD(525, 732) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 489

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

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

GCD(3, 489) = 1467 / 489

GCD(3, 489) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 286

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

LCM(3, 286) = 858

GCD(3, 286) = ( 3 x 286 ) / 858

GCD(3, 286) = 858 / 858

GCD(3, 286) = 1

GCD of 525, 732, 489, 286 is 1

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• GCD of 459, 885, 122, 149
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1. What is the GCD of 525, 732, 489, 286?

GCD of 525, 732, 489, 286 is 1

2. Where do I get the detailed procedure to find GCD of 525, 732, 489, 286?

You can find a detailed procedure to find GCD of 525, 732, 489, 286 on our page.

3. How to find GCD of 525, 732, 489, 286 on a calculator?

You can find the GCD of 525, 732, 489, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.