GCD of 372, 828, 45, 915 Calculator

Given Input numbers are 372, 828, 45, 915

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 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Greatest Common Divisior

We found the divisors of 372, 828, 45, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 372, 828, 45, 915 is 3.

Therefore, GCD of numbers 372, 828, 45, 915 is 3

Given Input Data is 372, 828, 45, 915

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 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 915 is 3 x 5 x 61

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, 828) = 25668

GCD(372, 828) = ( 372 x 828 ) / 25668

GCD(372, 828) = 308016 / 25668

GCD(372, 828) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 45

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

LCM(12, 45) = 180

GCD(12, 45) = ( 12 x 45 ) / 180

GCD(12, 45) = 540 / 180

GCD(12, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 915

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

LCM(3, 915) = 915

GCD(3, 915) = ( 3 x 915 ) / 915

GCD(3, 915) = 2745 / 915

GCD(3, 915) = 3

GCD of 372, 828, 45, 915 is 3

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1. What is the GCD of 372, 828, 45, 915?

GCD of 372, 828, 45, 915 is 3

2. Where do I get the detailed procedure to find GCD of 372, 828, 45, 915?

You can find a detailed procedure to find GCD of 372, 828, 45, 915 on our page.

3. How to find GCD of 372, 828, 45, 915 on a calculator?

You can find the GCD of 372, 828, 45, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.