GCD of 353, 150, 54, 944 Calculator

Given Input numbers are 353, 150, 54, 944

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 353, 150, 54, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 150, 54, 944 is 1.

Therefore, GCD of numbers 353, 150, 54, 944 is 1

Given Input Data is 353, 150, 54, 944

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

Prime Factorization of 353 is 353

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(353, 150) = 52950

GCD(353, 150) = ( 353 x 150 ) / 52950

GCD(353, 150) = 52950 / 52950

GCD(353, 150) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 54

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

LCM(1, 54) = 54

GCD(1, 54) = ( 1 x 54 ) / 54

GCD(1, 54) = 54 / 54

GCD(1, 54) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 353, 150, 54, 944 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 442, 35, 321
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• GCD of 352, 507, 82, 558
• GCD of 388, 395, 17, 233
• GCD of 120, 661, 91, 958

1. What is the GCD of 353, 150, 54, 944?

GCD of 353, 150, 54, 944 is 1

2. Where do I get the detailed procedure to find GCD of 353, 150, 54, 944?

You can find a detailed procedure to find GCD of 353, 150, 54, 944 on our page.

3. How to find GCD of 353, 150, 54, 944 on a calculator?

You can find the GCD of 353, 150, 54, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.