GCD of 920, 984, 474, 250 Calculator

Given Input numbers are 920, 984, 474, 250

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 250

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

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

Greatest Common Divisior

We found the divisors of 920, 984, 474, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 984, 474, 250 is 2.

Therefore, GCD of numbers 920, 984, 474, 250 is 2

Given Input Data is 920, 984, 474, 250

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 250 is 2 x 5 x 5 x 5

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(920, 984) = 113160

GCD(920, 984) = ( 920 x 984 ) / 113160

GCD(920, 984) = 905280 / 113160

GCD(920, 984) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 474

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

LCM(8, 474) = 1896

GCD(8, 474) = ( 8 x 474 ) / 1896

GCD(8, 474) = 3792 / 1896

GCD(8, 474) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 250

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

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

GCD(2, 250) = 500 / 250

GCD(2, 250) = 2

GCD of 920, 984, 474, 250 is 2

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1. What is the GCD of 920, 984, 474, 250?

GCD of 920, 984, 474, 250 is 2

2. Where do I get the detailed procedure to find GCD of 920, 984, 474, 250?

You can find a detailed procedure to find GCD of 920, 984, 474, 250 on our page.

3. How to find GCD of 920, 984, 474, 250 on a calculator?

You can find the GCD of 920, 984, 474, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.