GCD of 52, 992, 655, 489 Calculator

Given Input numbers are 52, 992, 655, 489

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

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 489

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

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 52, 992, 655, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 992, 655, 489 is 1.

Therefore, GCD of numbers 52, 992, 655, 489 is 1

Given Input Data is 52, 992, 655, 489

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

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 655 is 5 x 131

Prime Factorization of 489 is 3 x 163

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(52, 992) = 12896

GCD(52, 992) = ( 52 x 992 ) / 12896

GCD(52, 992) = 51584 / 12896

GCD(52, 992) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 655

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

LCM(4, 655) = 2620

GCD(4, 655) = ( 4 x 655 ) / 2620

GCD(4, 655) = 2620 / 2620

GCD(4, 655) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 52, 992, 655, 489 is 1

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• GCD of 38, 766, 301, 753
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• GCD of 53, 609, 262, 524

1. What is the GCD of 52, 992, 655, 489?

GCD of 52, 992, 655, 489 is 1

2. Where do I get the detailed procedure to find GCD of 52, 992, 655, 489?

You can find a detailed procedure to find GCD of 52, 992, 655, 489 on our page.

3. How to find GCD of 52, 992, 655, 489 on a calculator?

You can find the GCD of 52, 992, 655, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.