GCD of 496, 159, 558, 752 Calculator

Given Input numbers are 496, 159, 558, 752

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 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 496, 159, 558, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 159, 558, 752 is 1.

Therefore, GCD of numbers 496, 159, 558, 752 is 1

Given Input Data is 496, 159, 558, 752

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 159 is 3 x 53

Prime Factorization of 558 is 2 x 3 x 3 x 31

Prime Factorization of 752 is 2 x 2 x 2 x 2 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(496, 159) = 78864

GCD(496, 159) = ( 496 x 159 ) / 78864

GCD(496, 159) = 78864 / 78864

GCD(496, 159) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 496, 159, 558, 752 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 617, 309, 593
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• GCD of 551, 161, 996, 753
• GCD of 459, 518, 606, 324

1. What is the GCD of 496, 159, 558, 752?

GCD of 496, 159, 558, 752 is 1

2. Where do I get the detailed procedure to find GCD of 496, 159, 558, 752?

You can find a detailed procedure to find GCD of 496, 159, 558, 752 on our page.

3. How to find GCD of 496, 159, 558, 752 on a calculator?

You can find the GCD of 496, 159, 558, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.