GCD of 528, 132, 76, 417 Calculator

Given Input numbers are 528, 132, 76, 417

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

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 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 528, 132, 76, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 132, 76, 417 is 1.

Therefore, GCD of numbers 528, 132, 76, 417 is 1

Given Input Data is 528, 132, 76, 417

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

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 417 is 3 x 139

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(528, 132) = 528

GCD(528, 132) = ( 528 x 132 ) / 528

GCD(528, 132) = 69696 / 528

GCD(528, 132) = 132

Step2:

Here we consider the GCD from the above i.e. 132 as first number and the next as 76

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

LCM(132, 76) = 2508

GCD(132, 76) = ( 132 x 76 ) / 2508

GCD(132, 76) = 10032 / 2508

GCD(132, 76) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 417

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

LCM(4, 417) = 1668

GCD(4, 417) = ( 4 x 417 ) / 1668

GCD(4, 417) = 1668 / 1668

GCD(4, 417) = 1

GCD of 528, 132, 76, 417 is 1

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• GCD of 880, 576, 71, 244
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1. What is the GCD of 528, 132, 76, 417?

GCD of 528, 132, 76, 417 is 1

2. Where do I get the detailed procedure to find GCD of 528, 132, 76, 417?

You can find a detailed procedure to find GCD of 528, 132, 76, 417 on our page.

3. How to find GCD of 528, 132, 76, 417 on a calculator?

You can find the GCD of 528, 132, 76, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.