GCD of 640, 142, 76, 203 Calculator

Given Input numbers are 640, 142, 76, 203

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 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 640, 142, 76, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 640, 142, 76, 203 is 1.

Therefore, GCD of numbers 640, 142, 76, 203 is 1

Given Input Data is 640, 142, 76, 203

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 142 is 2 x 71

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 203 is 7 x 29

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, 142) = 45440

GCD(640, 142) = ( 640 x 142 ) / 45440

GCD(640, 142) = 90880 / 45440

GCD(640, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 203

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

LCM(2, 203) = 406

GCD(2, 203) = ( 2 x 203 ) / 406

GCD(2, 203) = 406 / 406

GCD(2, 203) = 1

GCD of 640, 142, 76, 203 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 388, 799, 29, 204
• GCD of 865, 343, 88, 212
• GCD of 598, 785, 59, 454
• GCD of 397, 761, 52, 854
• GCD of 464, 386, 21, 526

1. What is the GCD of 640, 142, 76, 203?

GCD of 640, 142, 76, 203 is 1

2. Where do I get the detailed procedure to find GCD of 640, 142, 76, 203?

You can find a detailed procedure to find GCD of 640, 142, 76, 203 on our page.

3. How to find GCD of 640, 142, 76, 203 on a calculator?

You can find the GCD of 640, 142, 76, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.