GCD of 489, 452, 65, 705 Calculator

Given Input numbers are 489, 452, 65, 705

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

Divisors of 489

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

1, 3, 163, 489

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 489, 452, 65, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 452, 65, 705 is 1.

Therefore, GCD of numbers 489, 452, 65, 705 is 1

Given Input Data is 489, 452, 65, 705

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 65 is 5 x 13

Prime Factorization of 705 is 3 x 5 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(489, 452) = 221028

GCD(489, 452) = ( 489 x 452 ) / 221028

GCD(489, 452) = 221028 / 221028

GCD(489, 452) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 489, 452, 65, 705 is 1

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• GCD of 366, 139, 91, 842
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• GCD of 124, 469, 75, 656

1. What is the GCD of 489, 452, 65, 705?

GCD of 489, 452, 65, 705 is 1

2. Where do I get the detailed procedure to find GCD of 489, 452, 65, 705?

You can find a detailed procedure to find GCD of 489, 452, 65, 705 on our page.

3. How to find GCD of 489, 452, 65, 705 on a calculator?

You can find the GCD of 489, 452, 65, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.