GCD of 442, 958, 984, 949 Calculator

Given Input numbers are 442, 958, 984, 949

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

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 442, 958, 984, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 442, 958, 984, 949 is 1.

Therefore, GCD of numbers 442, 958, 984, 949 is 1

Given Input Data is 442, 958, 984, 949

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

Prime Factorization of 442 is 2 x 13 x 17

Prime Factorization of 958 is 2 x 479

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 949 is 13 x 73

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(442, 958) = 211718

GCD(442, 958) = ( 442 x 958 ) / 211718

GCD(442, 958) = 423436 / 211718

GCD(442, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 984

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

LCM(2, 984) = 984

GCD(2, 984) = ( 2 x 984 ) / 984

GCD(2, 984) = 1968 / 984

GCD(2, 984) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 949

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

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

GCD(2, 949) = 1898 / 1898

GCD(2, 949) = 1

GCD of 442, 958, 984, 949 is 1

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1. What is the GCD of 442, 958, 984, 949?

GCD of 442, 958, 984, 949 is 1

2. Where do I get the detailed procedure to find GCD of 442, 958, 984, 949?

You can find a detailed procedure to find GCD of 442, 958, 984, 949 on our page.

3. How to find GCD of 442, 958, 984, 949 on a calculator?

You can find the GCD of 442, 958, 984, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.