GCD of 970, 250, 50, 728 Calculator

Given Input numbers are 970, 250, 50, 728

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

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 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 970, 250, 50, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 250, 50, 728 is 2.

Therefore, GCD of numbers 970, 250, 50, 728 is 2

Given Input Data is 970, 250, 50, 728

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

Prime Factorization of 970 is 2 x 5 x 97

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(970, 250) = 24250

GCD(970, 250) = ( 970 x 250 ) / 24250

GCD(970, 250) = 242500 / 24250

GCD(970, 250) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 50

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

LCM(10, 50) = 50

GCD(10, 50) = ( 10 x 50 ) / 50

GCD(10, 50) = 500 / 50

GCD(10, 50) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 728

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

LCM(10, 728) = 3640

GCD(10, 728) = ( 10 x 728 ) / 3640

GCD(10, 728) = 7280 / 3640

GCD(10, 728) = 2

GCD of 970, 250, 50, 728 is 2

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1. What is the GCD of 970, 250, 50, 728?

GCD of 970, 250, 50, 728 is 2

2. Where do I get the detailed procedure to find GCD of 970, 250, 50, 728?

You can find a detailed procedure to find GCD of 970, 250, 50, 728 on our page.

3. How to find GCD of 970, 250, 50, 728 on a calculator?

You can find the GCD of 970, 250, 50, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.