GCD of 928, 328, 860, 158 Calculator

Given Input numbers are 928, 328, 860, 158

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 158

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

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 928, 328, 860, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 328, 860, 158 is 2.

Therefore, GCD of numbers 928, 328, 860, 158 is 2

Given Input Data is 928, 328, 860, 158

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 158 is 2 x 79

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(928, 328) = 38048

GCD(928, 328) = ( 928 x 328 ) / 38048

GCD(928, 328) = 304384 / 38048

GCD(928, 328) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 860

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

LCM(8, 860) = 1720

GCD(8, 860) = ( 8 x 860 ) / 1720

GCD(8, 860) = 6880 / 1720

GCD(8, 860) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 158

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

LCM(4, 158) = 316

GCD(4, 158) = ( 4 x 158 ) / 316

GCD(4, 158) = 632 / 316

GCD(4, 158) = 2

GCD of 928, 328, 860, 158 is 2

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1. What is the GCD of 928, 328, 860, 158?

GCD of 928, 328, 860, 158 is 2

2. Where do I get the detailed procedure to find GCD of 928, 328, 860, 158?

You can find a detailed procedure to find GCD of 928, 328, 860, 158 on our page.

3. How to find GCD of 928, 328, 860, 158 on a calculator?

You can find the GCD of 928, 328, 860, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.