GCD of 320, 901, 181, 142 Calculator

Given Input numbers are 320, 901, 181, 142

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

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

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

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 320, 901, 181, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 901, 181, 142 is 1.

Therefore, GCD of numbers 320, 901, 181, 142 is 1

Given Input Data is 320, 901, 181, 142

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 901 is 17 x 53

Prime Factorization of 181 is 181

Prime Factorization of 142 is 2 x 71

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(320, 901) = 288320

GCD(320, 901) = ( 320 x 901 ) / 288320

GCD(320, 901) = 288320 / 288320

GCD(320, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 181

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

LCM(1, 181) = 181

GCD(1, 181) = ( 1 x 181 ) / 181

GCD(1, 181) = 181 / 181

GCD(1, 181) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 320, 901, 181, 142 is 1

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1. What is the GCD of 320, 901, 181, 142?

GCD of 320, 901, 181, 142 is 1

2. Where do I get the detailed procedure to find GCD of 320, 901, 181, 142?

You can find a detailed procedure to find GCD of 320, 901, 181, 142 on our page.

3. How to find GCD of 320, 901, 181, 142 on a calculator?

You can find the GCD of 320, 901, 181, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.