GCD of 490, 618, 40, 269 Calculator

Given Input numbers are 490, 618, 40, 269

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

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 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 490, 618, 40, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 490, 618, 40, 269 is 1.

Therefore, GCD of numbers 490, 618, 40, 269 is 1

Given Input Data is 490, 618, 40, 269

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

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

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 269 is 269

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(490, 618) = 151410

GCD(490, 618) = ( 490 x 618 ) / 151410

GCD(490, 618) = 302820 / 151410

GCD(490, 618) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 269

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

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

GCD(2, 269) = 538 / 538

GCD(2, 269) = 1

GCD of 490, 618, 40, 269 is 1

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• GCD of 944, 460, 87, 738
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• GCD of 102, 971, 27, 539

1. What is the GCD of 490, 618, 40, 269?

GCD of 490, 618, 40, 269 is 1

2. Where do I get the detailed procedure to find GCD of 490, 618, 40, 269?

You can find a detailed procedure to find GCD of 490, 618, 40, 269 on our page.

3. How to find GCD of 490, 618, 40, 269 on a calculator?

You can find the GCD of 490, 618, 40, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.