GCD of 46, 336, 872, 898 Calculator

Given Input numbers are 46, 336, 872, 898

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 46, 336, 872, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 336, 872, 898 is 2.

Therefore, GCD of numbers 46, 336, 872, 898 is 2

Given Input Data is 46, 336, 872, 898

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

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

Prime Factorization of 898 is 2 x 449

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(46, 336) = 7728

GCD(46, 336) = ( 46 x 336 ) / 7728

GCD(46, 336) = 15456 / 7728

GCD(46, 336) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 898

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

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

GCD(2, 898) = 1796 / 898

GCD(2, 898) = 2

GCD of 46, 336, 872, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 707, 771, 637
• GCD of 85, 326, 338, 334
• GCD of 14, 825, 859, 314
• GCD of 24, 849, 107, 688
• GCD of 48, 419, 315, 758

1. What is the GCD of 46, 336, 872, 898?

GCD of 46, 336, 872, 898 is 2

2. Where do I get the detailed procedure to find GCD of 46, 336, 872, 898?

You can find a detailed procedure to find GCD of 46, 336, 872, 898 on our page.

3. How to find GCD of 46, 336, 872, 898 on a calculator?

You can find the GCD of 46, 336, 872, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.