GCD of 634, 496, 842, 830 Calculator

Given Input numbers are 634, 496, 842, 830

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

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 634, 496, 842, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 496, 842, 830 is 2.

Therefore, GCD of numbers 634, 496, 842, 830 is 2

Given Input Data is 634, 496, 842, 830

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

Prime Factorization of 634 is 2 x 317

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 830 is 2 x 5 x 83

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(634, 496) = 157232

GCD(634, 496) = ( 634 x 496 ) / 157232

GCD(634, 496) = 314464 / 157232

GCD(634, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 830

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

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

GCD(2, 830) = 1660 / 830

GCD(2, 830) = 2

GCD of 634, 496, 842, 830 is 2

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1. What is the GCD of 634, 496, 842, 830?

GCD of 634, 496, 842, 830 is 2

2. Where do I get the detailed procedure to find GCD of 634, 496, 842, 830?

You can find a detailed procedure to find GCD of 634, 496, 842, 830 on our page.

3. How to find GCD of 634, 496, 842, 830 on a calculator?

You can find the GCD of 634, 496, 842, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.