GCD of 598, 872, 146, 910 Calculator

Given Input numbers are 598, 872, 146, 910

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Greatest Common Divisior

We found the divisors of 598, 872, 146, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 872, 146, 910 is 2.

Therefore, GCD of numbers 598, 872, 146, 910 is 2

Given Input Data is 598, 872, 146, 910

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 146 is 2 x 73

Prime Factorization of 910 is 2 x 5 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(598, 872) = 260728

GCD(598, 872) = ( 598 x 872 ) / 260728

GCD(598, 872) = 521456 / 260728

GCD(598, 872) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 910

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

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

GCD(2, 910) = 1820 / 910

GCD(2, 910) = 2

GCD of 598, 872, 146, 910 is 2

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1. What is the GCD of 598, 872, 146, 910?

GCD of 598, 872, 146, 910 is 2

2. Where do I get the detailed procedure to find GCD of 598, 872, 146, 910?

You can find a detailed procedure to find GCD of 598, 872, 146, 910 on our page.

3. How to find GCD of 598, 872, 146, 910 on a calculator?

You can find the GCD of 598, 872, 146, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.