GCD of 496, 642, 51, 489 Calculator

Given Input numbers are 496, 642, 51, 489

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

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 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

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 496, 642, 51, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 642, 51, 489 is 1.

Therefore, GCD of numbers 496, 642, 51, 489 is 1

Given Input Data is 496, 642, 51, 489

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

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 51 is 3 x 17

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(496, 642) = 159216

GCD(496, 642) = ( 496 x 642 ) / 159216

GCD(496, 642) = 318432 / 159216

GCD(496, 642) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 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 496, 642, 51, 489 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 193, 16, 179
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• GCD of 286, 550, 96, 325

1. What is the GCD of 496, 642, 51, 489?

GCD of 496, 642, 51, 489 is 1

2. Where do I get the detailed procedure to find GCD of 496, 642, 51, 489?

You can find a detailed procedure to find GCD of 496, 642, 51, 489 on our page.

3. How to find GCD of 496, 642, 51, 489 on a calculator?

You can find the GCD of 496, 642, 51, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.