GCD of 298, 890, 964, 506 Calculator

Given Input numbers are 298, 890, 964, 506

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 298, 890, 964, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 890, 964, 506 is 2.

Therefore, GCD of numbers 298, 890, 964, 506 is 2

Given Input Data is 298, 890, 964, 506

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 506 is 2 x 11 x 23

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(298, 890) = 132610

GCD(298, 890) = ( 298 x 890 ) / 132610

GCD(298, 890) = 265220 / 132610

GCD(298, 890) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 506

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

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

GCD(2, 506) = 1012 / 506

GCD(2, 506) = 2

GCD of 298, 890, 964, 506 is 2

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1. What is the GCD of 298, 890, 964, 506?

GCD of 298, 890, 964, 506 is 2

2. Where do I get the detailed procedure to find GCD of 298, 890, 964, 506?

You can find a detailed procedure to find GCD of 298, 890, 964, 506 on our page.

3. How to find GCD of 298, 890, 964, 506 on a calculator?

You can find the GCD of 298, 890, 964, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.