GCD of 824, 372, 54, 720 Calculator

Given Input numbers are 824, 372, 54, 720

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

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 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 824, 372, 54, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 372, 54, 720 is 2.

Therefore, GCD of numbers 824, 372, 54, 720 is 2

Given Input Data is 824, 372, 54, 720

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(824, 372) = 76632

GCD(824, 372) = ( 824 x 372 ) / 76632

GCD(824, 372) = 306528 / 76632

GCD(824, 372) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 54

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

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

GCD(4, 54) = 216 / 108

GCD(4, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 720

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

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

GCD(2, 720) = 1440 / 720

GCD(2, 720) = 2

GCD of 824, 372, 54, 720 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 760, 74, 756
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• GCD of 227, 142, 47, 433
• GCD of 801, 450, 48, 516

1. What is the GCD of 824, 372, 54, 720?

GCD of 824, 372, 54, 720 is 2

2. Where do I get the detailed procedure to find GCD of 824, 372, 54, 720?

You can find a detailed procedure to find GCD of 824, 372, 54, 720 on our page.

3. How to find GCD of 824, 372, 54, 720 on a calculator?

You can find the GCD of 824, 372, 54, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.