GCD of 349, 954, 33, 783 Calculator

Given Input numbers are 349, 954, 33, 783

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

Divisors of 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

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 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 349, 954, 33, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 349, 954, 33, 783 is 1.

Therefore, GCD of numbers 349, 954, 33, 783 is 1

Given Input Data is 349, 954, 33, 783

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

Prime Factorization of 349 is 349

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

Prime Factorization of 33 is 3 x 11

Prime Factorization of 783 is 3 x 3 x 3 x 29

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(349, 954) = 332946

GCD(349, 954) = ( 349 x 954 ) / 332946

GCD(349, 954) = 332946 / 332946

GCD(349, 954) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

GCD of 349, 954, 33, 783 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 474, 705, 17, 335
• GCD of 158, 958, 45, 868
• GCD of 397, 737, 63, 783
• GCD of 467, 959, 18, 198
• GCD of 414, 318, 66, 427

1. What is the GCD of 349, 954, 33, 783?

GCD of 349, 954, 33, 783 is 1

2. Where do I get the detailed procedure to find GCD of 349, 954, 33, 783?

You can find a detailed procedure to find GCD of 349, 954, 33, 783 on our page.

3. How to find GCD of 349, 954, 33, 783 on a calculator?

You can find the GCD of 349, 954, 33, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.