GCD of 752, 664, 17, 276 Calculator

Given Input numbers are 752, 664, 17, 276

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 752, 664, 17, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 664, 17, 276 is 1.

Therefore, GCD of numbers 752, 664, 17, 276 is 1

Given Input Data is 752, 664, 17, 276

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 664 is 2 x 2 x 2 x 83

Prime Factorization of 17 is 17

Prime Factorization of 276 is 2 x 2 x 3 x 23

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, 664) = 62416

GCD(752, 664) = ( 752 x 664 ) / 62416

GCD(752, 664) = 499328 / 62416

GCD(752, 664) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 17

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

LCM(8, 17) = 136

GCD(8, 17) = ( 8 x 17 ) / 136

GCD(8, 17) = 136 / 136

GCD(8, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 276

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

LCM(1, 276) = 276

GCD(1, 276) = ( 1 x 276 ) / 276

GCD(1, 276) = 276 / 276

GCD(1, 276) = 1

GCD of 752, 664, 17, 276 is 1

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1. What is the GCD of 752, 664, 17, 276?

GCD of 752, 664, 17, 276 is 1

2. Where do I get the detailed procedure to find GCD of 752, 664, 17, 276?

You can find a detailed procedure to find GCD of 752, 664, 17, 276 on our page.

3. How to find GCD of 752, 664, 17, 276 on a calculator?

You can find the GCD of 752, 664, 17, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.