GCD of 825, 528, 88, 342 Calculator

Given Input numbers are 825, 528, 88, 342

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

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 825, 528, 88, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 528, 88, 342 is 1.

Therefore, GCD of numbers 825, 528, 88, 342 is 1

Given Input Data is 825, 528, 88, 342

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

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

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(825, 528) = 13200

GCD(825, 528) = ( 825 x 528 ) / 13200

GCD(825, 528) = 435600 / 13200

GCD(825, 528) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 88

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

LCM(33, 88) = 264

GCD(33, 88) = ( 33 x 88 ) / 264

GCD(33, 88) = 2904 / 264

GCD(33, 88) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 342

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

LCM(11, 342) = 3762

GCD(11, 342) = ( 11 x 342 ) / 3762

GCD(11, 342) = 3762 / 3762

GCD(11, 342) = 1

GCD of 825, 528, 88, 342 is 1

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1. What is the GCD of 825, 528, 88, 342?

GCD of 825, 528, 88, 342 is 1

2. Where do I get the detailed procedure to find GCD of 825, 528, 88, 342?

You can find a detailed procedure to find GCD of 825, 528, 88, 342 on our page.

3. How to find GCD of 825, 528, 88, 342 on a calculator?

You can find the GCD of 825, 528, 88, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.