GCD of 590, 250, 968, 675 Calculator

Given Input numbers are 590, 250, 968, 675

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 590, 250, 968, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 250, 968, 675 is 1.

Therefore, GCD of numbers 590, 250, 968, 675 is 1

Given Input Data is 590, 250, 968, 675

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

Prime Factorization of 590 is 2 x 5 x 59

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

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(590, 250) = 14750

GCD(590, 250) = ( 590 x 250 ) / 14750

GCD(590, 250) = 147500 / 14750

GCD(590, 250) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 968

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

LCM(10, 968) = 4840

GCD(10, 968) = ( 10 x 968 ) / 4840

GCD(10, 968) = 9680 / 4840

GCD(10, 968) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 675

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

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

GCD(2, 675) = 1350 / 1350

GCD(2, 675) = 1

GCD of 590, 250, 968, 675 is 1

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1. What is the GCD of 590, 250, 968, 675?

GCD of 590, 250, 968, 675 is 1

2. Where do I get the detailed procedure to find GCD of 590, 250, 968, 675?

You can find a detailed procedure to find GCD of 590, 250, 968, 675 on our page.

3. How to find GCD of 590, 250, 968, 675 on a calculator?

You can find the GCD of 590, 250, 968, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.