GCD of 908, 640, 30, 142 Calculator

Given Input numbers are 908, 640, 30, 142

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

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 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 142

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

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 908, 640, 30, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 640, 30, 142 is 2.

Therefore, GCD of numbers 908, 640, 30, 142 is 2

Given Input Data is 908, 640, 30, 142

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

Prime Factorization of 908 is 2 x 2 x 227

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 142 is 2 x 71

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(908, 640) = 145280

GCD(908, 640) = ( 908 x 640 ) / 145280

GCD(908, 640) = 581120 / 145280

GCD(908, 640) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 30

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

LCM(4, 30) = 60

GCD(4, 30) = ( 4 x 30 ) / 60

GCD(4, 30) = 120 / 60

GCD(4, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 142

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

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

GCD(2, 142) = 284 / 142

GCD(2, 142) = 2

GCD of 908, 640, 30, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 223, 82, 481
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• GCD of 863, 792, 17, 224
• GCD of 572, 665, 46, 939

1. What is the GCD of 908, 640, 30, 142?

GCD of 908, 640, 30, 142 is 2

2. Where do I get the detailed procedure to find GCD of 908, 640, 30, 142?

You can find a detailed procedure to find GCD of 908, 640, 30, 142 on our page.

3. How to find GCD of 908, 640, 30, 142 on a calculator?

You can find the GCD of 908, 640, 30, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.