GCD of 320, 250, 792, 860 Calculator

Given Input numbers are 320, 250, 792, 860

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 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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

Greatest Common Divisior

We found the divisors of 320, 250, 792, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 250, 792, 860 is 2.

Therefore, GCD of numbers 320, 250, 792, 860 is 2

Given Input Data is 320, 250, 792, 860

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 250 is 2 x 5 x 5 x 5

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

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

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(320, 250) = 8000

GCD(320, 250) = ( 320 x 250 ) / 8000

GCD(320, 250) = 80000 / 8000

GCD(320, 250) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 792

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

LCM(10, 792) = 3960

GCD(10, 792) = ( 10 x 792 ) / 3960

GCD(10, 792) = 7920 / 3960

GCD(10, 792) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 860

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

LCM(2, 860) = 860

GCD(2, 860) = ( 2 x 860 ) / 860

GCD(2, 860) = 1720 / 860

GCD(2, 860) = 2

GCD of 320, 250, 792, 860 is 2

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1. What is the GCD of 320, 250, 792, 860?

GCD of 320, 250, 792, 860 is 2

2. Where do I get the detailed procedure to find GCD of 320, 250, 792, 860?

You can find a detailed procedure to find GCD of 320, 250, 792, 860 on our page.

3. How to find GCD of 320, 250, 792, 860 on a calculator?

You can find the GCD of 320, 250, 792, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.