GCD of 640, 742, 270, 403 Calculator

Given Input numbers are 640, 742, 270, 403

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

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Greatest Common Divisior

We found the divisors of 640, 742, 270, 403 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 742, 270, 403 is 1.

Therefore, GCD of numbers 640, 742, 270, 403 is 1

Given Input Data is 640, 742, 270, 403

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

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 403 is 13 x 31

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(640, 742) = 237440

GCD(640, 742) = ( 640 x 742 ) / 237440

GCD(640, 742) = 474880 / 237440

GCD(640, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

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

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 403

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

LCM(2, 403) = 806

GCD(2, 403) = ( 2 x 403 ) / 806

GCD(2, 403) = 806 / 806

GCD(2, 403) = 1

GCD of 640, 742, 270, 403 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 165, 828, 321
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• GCD of 281, 411, 742, 645
• GCD of 105, 476, 489, 298
• GCD of 386, 340, 179, 500

1. What is the GCD of 640, 742, 270, 403?

GCD of 640, 742, 270, 403 is 1

2. Where do I get the detailed procedure to find GCD of 640, 742, 270, 403?

You can find a detailed procedure to find GCD of 640, 742, 270, 403 on our page.

3. How to find GCD of 640, 742, 270, 403 on a calculator?

You can find the GCD of 640, 742, 270, 403 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.