GCD of 158, 464, 768, 205 Calculator

Given Input numbers are 158, 464, 768, 205

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

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 158, 464, 768, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 464, 768, 205 is 1.

Therefore, GCD of numbers 158, 464, 768, 205 is 1

Given Input Data is 158, 464, 768, 205

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 205 is 5 x 41

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(158, 464) = 36656

GCD(158, 464) = ( 158 x 464 ) / 36656

GCD(158, 464) = 73312 / 36656

GCD(158, 464) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 768

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

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

GCD(2, 768) = 1536 / 768

GCD(2, 768) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 205

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

LCM(2, 205) = 410

GCD(2, 205) = ( 2 x 205 ) / 410

GCD(2, 205) = 410 / 410

GCD(2, 205) = 1

GCD of 158, 464, 768, 205 is 1

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1. What is the GCD of 158, 464, 768, 205?

GCD of 158, 464, 768, 205 is 1

2. Where do I get the detailed procedure to find GCD of 158, 464, 768, 205?

You can find a detailed procedure to find GCD of 158, 464, 768, 205 on our page.

3. How to find GCD of 158, 464, 768, 205 on a calculator?

You can find the GCD of 158, 464, 768, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.