GCD of 336, 759, 46, 898 Calculator

Given Input numbers are 336, 759, 46, 898

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

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 46

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

1, 2, 23, 46

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 336, 759, 46, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 759, 46, 898 is 1.

Therefore, GCD of numbers 336, 759, 46, 898 is 1

Given Input Data is 336, 759, 46, 898

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

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

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 46 is 2 x 23

Prime Factorization of 898 is 2 x 449

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(336, 759) = 85008

GCD(336, 759) = ( 336 x 759 ) / 85008

GCD(336, 759) = 255024 / 85008

GCD(336, 759) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 46

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

LCM(3, 46) = 138

GCD(3, 46) = ( 3 x 46 ) / 138

GCD(3, 46) = 138 / 138

GCD(3, 46) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 336, 759, 46, 898 is 1

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1. What is the GCD of 336, 759, 46, 898?

GCD of 336, 759, 46, 898 is 1

2. Where do I get the detailed procedure to find GCD of 336, 759, 46, 898?

You can find a detailed procedure to find GCD of 336, 759, 46, 898 on our page.

3. How to find GCD of 336, 759, 46, 898 on a calculator?

You can find the GCD of 336, 759, 46, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.