GCD of 805, 458, 384, 142 Calculator

Given Input numbers are 805, 458, 384, 142

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

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 805, 458, 384, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 805, 458, 384, 142 is 1.

Therefore, GCD of numbers 805, 458, 384, 142 is 1

Given Input Data is 805, 458, 384, 142

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

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 458 is 2 x 229

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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(805, 458) = 368690

GCD(805, 458) = ( 805 x 458 ) / 368690

GCD(805, 458) = 368690 / 368690

GCD(805, 458) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 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 805, 458, 384, 142 is 1

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1. What is the GCD of 805, 458, 384, 142?

GCD of 805, 458, 384, 142 is 1

2. Where do I get the detailed procedure to find GCD of 805, 458, 384, 142?

You can find a detailed procedure to find GCD of 805, 458, 384, 142 on our page.

3. How to find GCD of 805, 458, 384, 142 on a calculator?

You can find the GCD of 805, 458, 384, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.