GCD of 276, 528, 17, 830 Calculator

Given Input numbers are 276, 528, 17, 830

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

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 17

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

1, 17

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Greatest Common Divisior

We found the divisors of 276, 528, 17, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 276, 528, 17, 830 is 1.

Therefore, GCD of numbers 276, 528, 17, 830 is 1

Given Input Data is 276, 528, 17, 830

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

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 17 is 17

Prime Factorization of 830 is 2 x 5 x 83

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(276, 528) = 12144

GCD(276, 528) = ( 276 x 528 ) / 12144

GCD(276, 528) = 145728 / 12144

GCD(276, 528) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 17

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

LCM(12, 17) = 204

GCD(12, 17) = ( 12 x 17 ) / 204

GCD(12, 17) = 204 / 204

GCD(12, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 830

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

LCM(1, 830) = 830

GCD(1, 830) = ( 1 x 830 ) / 830

GCD(1, 830) = 830 / 830

GCD(1, 830) = 1

GCD of 276, 528, 17, 830 is 1

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1. What is the GCD of 276, 528, 17, 830?

GCD of 276, 528, 17, 830 is 1

2. Where do I get the detailed procedure to find GCD of 276, 528, 17, 830?

You can find a detailed procedure to find GCD of 276, 528, 17, 830 on our page.

3. How to find GCD of 276, 528, 17, 830 on a calculator?

You can find the GCD of 276, 528, 17, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.