GCD of 525, 489, 321, 704 Calculator

Given Input numbers are 525, 489, 321, 704

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 489

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

1, 3, 163, 489

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 525, 489, 321, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 489, 321, 704 is 1.

Therefore, GCD of numbers 525, 489, 321, 704 is 1

Given Input Data is 525, 489, 321, 704

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 489 is 3 x 163

Prime Factorization of 321 is 3 x 107

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 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(525, 489) = 85575

GCD(525, 489) = ( 525 x 489 ) / 85575

GCD(525, 489) = 256725 / 85575

GCD(525, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 321

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

LCM(3, 321) = 321

GCD(3, 321) = ( 3 x 321 ) / 321

GCD(3, 321) = 963 / 321

GCD(3, 321) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 704

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

LCM(3, 704) = 2112

GCD(3, 704) = ( 3 x 704 ) / 2112

GCD(3, 704) = 2112 / 2112

GCD(3, 704) = 1

GCD of 525, 489, 321, 704 is 1

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• GCD of 798, 558, 338, 758
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1. What is the GCD of 525, 489, 321, 704?

GCD of 525, 489, 321, 704 is 1

2. Where do I get the detailed procedure to find GCD of 525, 489, 321, 704?

You can find a detailed procedure to find GCD of 525, 489, 321, 704 on our page.

3. How to find GCD of 525, 489, 321, 704 on a calculator?

You can find the GCD of 525, 489, 321, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.