GCD of 194, 508, 630 Calculator

Given Input numbers are 194, 508, 630

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

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 194, 508, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 508, 630 is 2.

Therefore, GCD of numbers 194, 508, 630 is 2

Given Input Data is 194, 508, 630

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

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(194, 508) = 49276

GCD(194, 508) = ( 194 x 508 ) / 49276

GCD(194, 508) = 98552 / 49276

GCD(194, 508) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 630

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

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

GCD(2, 630) = 1260 / 630

GCD(2, 630) = 2

GCD of 194, 508, 630 is 2

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1. What is the GCD of 194, 508, 630?

GCD of 194, 508, 630 is 2

2. Where do I get the detailed procedure to find GCD of 194, 508, 630?

You can find a detailed procedure to find GCD of 194, 508, 630 on our page.

3. How to find GCD of 194, 508, 630 on a calculator?

You can find the GCD of 194, 508, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.