GCD of 351, 753, 33, 970 Calculator

Given Input numbers are 351, 753, 33, 970

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 33

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

1, 3, 11, 33

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 351, 753, 33, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 753, 33, 970 is 1.

Therefore, GCD of numbers 351, 753, 33, 970 is 1

Given Input Data is 351, 753, 33, 970

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 753 is 3 x 251

Prime Factorization of 33 is 3 x 11

Prime Factorization of 970 is 2 x 5 x 97

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(351, 753) = 88101

GCD(351, 753) = ( 351 x 753 ) / 88101

GCD(351, 753) = 264303 / 88101

GCD(351, 753) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 33

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

LCM(3, 33) = 33

GCD(3, 33) = ( 3 x 33 ) / 33

GCD(3, 33) = 99 / 33

GCD(3, 33) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 970

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

LCM(3, 970) = 2910

GCD(3, 970) = ( 3 x 970 ) / 2910

GCD(3, 970) = 2910 / 2910

GCD(3, 970) = 1

GCD of 351, 753, 33, 970 is 1

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1. What is the GCD of 351, 753, 33, 970?

GCD of 351, 753, 33, 970 is 1

2. Where do I get the detailed procedure to find GCD of 351, 753, 33, 970?

You can find a detailed procedure to find GCD of 351, 753, 33, 970 on our page.

3. How to find GCD of 351, 753, 33, 970 on a calculator?

You can find the GCD of 351, 753, 33, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.