GCD of 411, 132, 69, 825 Calculator

Given Input numbers are 411, 132, 69, 825

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

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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

Greatest Common Divisior

We found the divisors of 411, 132, 69, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 411, 132, 69, 825 is 3.

Therefore, GCD of numbers 411, 132, 69, 825 is 3

Given Input Data is 411, 132, 69, 825

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

Prime Factorization of 411 is 3 x 137

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

Prime Factorization of 69 is 3 x 23

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(411, 132) = 18084

GCD(411, 132) = ( 411 x 132 ) / 18084

GCD(411, 132) = 54252 / 18084

GCD(411, 132) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 69

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

LCM(3, 69) = 69

GCD(3, 69) = ( 3 x 69 ) / 69

GCD(3, 69) = 207 / 69

GCD(3, 69) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 825

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

LCM(3, 825) = 825

GCD(3, 825) = ( 3 x 825 ) / 825

GCD(3, 825) = 2475 / 825

GCD(3, 825) = 3

GCD of 411, 132, 69, 825 is 3

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• GCD of 233, 334, 49, 235
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• GCD of 934, 319, 36, 259

1. What is the GCD of 411, 132, 69, 825?

GCD of 411, 132, 69, 825 is 3

2. Where do I get the detailed procedure to find GCD of 411, 132, 69, 825?

You can find a detailed procedure to find GCD of 411, 132, 69, 825 on our page.

3. How to find GCD of 411, 132, 69, 825 on a calculator?

You can find the GCD of 411, 132, 69, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.