GCD of 194, 490, 645, 507 Calculator

Given Input numbers are 194, 490, 645, 507

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 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 194, 490, 645, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 194, 490, 645, 507 is 1.

Therefore, GCD of numbers 194, 490, 645, 507 is 1

Given Input Data is 194, 490, 645, 507

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

Prime Factorization of 194 is 2 x 97

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 507 is 3 x 13 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(194, 490) = 47530

GCD(194, 490) = ( 194 x 490 ) / 47530

GCD(194, 490) = 95060 / 47530

GCD(194, 490) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 645

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

LCM(2, 645) = 1290

GCD(2, 645) = ( 2 x 645 ) / 1290

GCD(2, 645) = 1290 / 1290

GCD(2, 645) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 194, 490, 645, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 972, 147, 167
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• GCD of 761, 660, 689, 355

1. What is the GCD of 194, 490, 645, 507?

GCD of 194, 490, 645, 507 is 1

2. Where do I get the detailed procedure to find GCD of 194, 490, 645, 507?

You can find a detailed procedure to find GCD of 194, 490, 645, 507 on our page.

3. How to find GCD of 194, 490, 645, 507 on a calculator?

You can find the GCD of 194, 490, 645, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.