GCD of 498, 130, 16, 715 Calculator

Given Input numbers are 498, 130, 16, 715

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Greatest Common Divisior

We found the divisors of 498, 130, 16, 715 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 130, 16, 715 is 1.

Therefore, GCD of numbers 498, 130, 16, 715 is 1

Given Input Data is 498, 130, 16, 715

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 715 is 5 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(498, 130) = 32370

GCD(498, 130) = ( 498 x 130 ) / 32370

GCD(498, 130) = 64740 / 32370

GCD(498, 130) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 715

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

LCM(2, 715) = 1430

GCD(2, 715) = ( 2 x 715 ) / 1430

GCD(2, 715) = 1430 / 1430

GCD(2, 715) = 1

GCD of 498, 130, 16, 715 is 1

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1. What is the GCD of 498, 130, 16, 715?

GCD of 498, 130, 16, 715 is 1

2. Where do I get the detailed procedure to find GCD of 498, 130, 16, 715?

You can find a detailed procedure to find GCD of 498, 130, 16, 715 on our page.

3. How to find GCD of 498, 130, 16, 715 on a calculator?

You can find the GCD of 498, 130, 16, 715 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.