GCD of 752, 270, 353 Calculator

Given Input numbers are 752, 270, 353

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 353

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

1, 353

Greatest Common Divisior

We found the divisors of 752, 270, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 270, 353 is 1.

Therefore, GCD of numbers 752, 270, 353 is 1

Given Input Data is 752, 270, 353

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 353 is 353

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(752, 270) = 101520

GCD(752, 270) = ( 752 x 270 ) / 101520

GCD(752, 270) = 203040 / 101520

GCD(752, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 353

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

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

GCD(2, 353) = 706 / 706

GCD(2, 353) = 1

GCD of 752, 270, 353 is 1

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1. What is the GCD of 752, 270, 353?

GCD of 752, 270, 353 is 1

2. Where do I get the detailed procedure to find GCD of 752, 270, 353?

You can find a detailed procedure to find GCD of 752, 270, 353 on our page.

3. How to find GCD of 752, 270, 353 on a calculator?

You can find the GCD of 752, 270, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.