GCD of 306, 825, 64, 292 Calculator

Given Input numbers are 306, 825, 64, 292

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Greatest Common Divisior

We found the divisors of 306, 825, 64, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 825, 64, 292 is 1.

Therefore, GCD of numbers 306, 825, 64, 292 is 1

Given Input Data is 306, 825, 64, 292

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 292 is 2 x 2 x 73

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(306, 825) = 84150

GCD(306, 825) = ( 306 x 825 ) / 84150

GCD(306, 825) = 252450 / 84150

GCD(306, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 64

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

LCM(3, 64) = 192

GCD(3, 64) = ( 3 x 64 ) / 192

GCD(3, 64) = 192 / 192

GCD(3, 64) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 292

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

LCM(1, 292) = 292

GCD(1, 292) = ( 1 x 292 ) / 292

GCD(1, 292) = 292 / 292

GCD(1, 292) = 1

GCD of 306, 825, 64, 292 is 1

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• GCD of 827, 949, 99, 404
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• GCD of 212, 397, 55, 567

1. What is the GCD of 306, 825, 64, 292?

GCD of 306, 825, 64, 292 is 1

2. Where do I get the detailed procedure to find GCD of 306, 825, 64, 292?

You can find a detailed procedure to find GCD of 306, 825, 64, 292 on our page.

3. How to find GCD of 306, 825, 64, 292 on a calculator?

You can find the GCD of 306, 825, 64, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.