GCD of 154, 634, 496 Calculator

Given Input numbers are 154, 634, 496

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

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

Greatest Common Divisior

We found the divisors of 154, 634, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 634, 496 is 2.

Therefore, GCD of numbers 154, 634, 496 is 2

Given Input Data is 154, 634, 496

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 634 is 2 x 317

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

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(154, 634) = 48818

GCD(154, 634) = ( 154 x 634 ) / 48818

GCD(154, 634) = 97636 / 48818

GCD(154, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 496

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

LCM(2, 496) = 496

GCD(2, 496) = ( 2 x 496 ) / 496

GCD(2, 496) = 992 / 496

GCD(2, 496) = 2

GCD of 154, 634, 496 is 2

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• GCD of 927, 419, 894
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1. What is the GCD of 154, 634, 496?

GCD of 154, 634, 496 is 2

2. Where do I get the detailed procedure to find GCD of 154, 634, 496?

You can find a detailed procedure to find GCD of 154, 634, 496 on our page.

3. How to find GCD of 154, 634, 496 on a calculator?

You can find the GCD of 154, 634, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.