GCD of 696, 909, 58, 528 Calculator

Given Input numbers are 696, 909, 58, 528

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

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

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

Greatest Common Divisior

We found the divisors of 696, 909, 58, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 696, 909, 58, 528 is 1.

Therefore, GCD of numbers 696, 909, 58, 528 is 1

Given Input Data is 696, 909, 58, 528

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

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 58 is 2 x 29

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

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(696, 909) = 210888

GCD(696, 909) = ( 696 x 909 ) / 210888

GCD(696, 909) = 632664 / 210888

GCD(696, 909) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 58

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

LCM(3, 58) = 174

GCD(3, 58) = ( 3 x 58 ) / 174

GCD(3, 58) = 174 / 174

GCD(3, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 696, 909, 58, 528 is 1

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• GCD of 185, 652, 29, 505
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1. What is the GCD of 696, 909, 58, 528?

GCD of 696, 909, 58, 528 is 1

2. Where do I get the detailed procedure to find GCD of 696, 909, 58, 528?

You can find a detailed procedure to find GCD of 696, 909, 58, 528 on our page.

3. How to find GCD of 696, 909, 58, 528 on a calculator?

You can find the GCD of 696, 909, 58, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.