GCD of 46, 954, 846, 299 Calculator

Given Input numbers are 46, 954, 846, 299

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 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 46, 954, 846, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 954, 846, 299 is 1.

Therefore, GCD of numbers 46, 954, 846, 299 is 1

Given Input Data is 46, 954, 846, 299

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 299 is 13 x 23

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(46, 954) = 21942

GCD(46, 954) = ( 46 x 954 ) / 21942

GCD(46, 954) = 43884 / 21942

GCD(46, 954) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 846

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

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

GCD(2, 846) = 1692 / 846

GCD(2, 846) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 299

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

LCM(2, 299) = 598

GCD(2, 299) = ( 2 x 299 ) / 598

GCD(2, 299) = 598 / 598

GCD(2, 299) = 1

GCD of 46, 954, 846, 299 is 1

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1. What is the GCD of 46, 954, 846, 299?

GCD of 46, 954, 846, 299 is 1

2. Where do I get the detailed procedure to find GCD of 46, 954, 846, 299?

You can find a detailed procedure to find GCD of 46, 954, 846, 299 on our page.

3. How to find GCD of 46, 954, 846, 299 on a calculator?

You can find the GCD of 46, 954, 846, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.