GCD of 372, 297, 48, 825 Calculator

Given Input numbers are 372, 297, 48, 825

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

Divisors of 372

List of positive integer divisors of 372 that divides 372 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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 372, 297, 48, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 297, 48, 825 is 3.

Therefore, GCD of numbers 372, 297, 48, 825 is 3

Given Input Data is 372, 297, 48, 825

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

Prime Factorization of 372 is 2 x 2 x 3 x 31

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

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(372, 297) = 36828

GCD(372, 297) = ( 372 x 297 ) / 36828

GCD(372, 297) = 110484 / 36828

GCD(372, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 48

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

LCM(3, 48) = 48

GCD(3, 48) = ( 3 x 48 ) / 48

GCD(3, 48) = 144 / 48

GCD(3, 48) = 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 372, 297, 48, 825 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 128, 23, 291
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• GCD of 851, 329, 83, 836
• GCD of 623, 160, 48, 144
• GCD of 614, 619, 72, 613

1. What is the GCD of 372, 297, 48, 825?

GCD of 372, 297, 48, 825 is 3

2. Where do I get the detailed procedure to find GCD of 372, 297, 48, 825?

You can find a detailed procedure to find GCD of 372, 297, 48, 825 on our page.

3. How to find GCD of 372, 297, 48, 825 on a calculator?

You can find the GCD of 372, 297, 48, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.