GCD of 820, 720, 628, 248 Calculator

Given Input numbers are 820, 720, 628, 248

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Greatest Common Divisior

We found the divisors of 820, 720, 628, 248 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 720, 628, 248 is 4.

Therefore, GCD of numbers 820, 720, 628, 248 is 4

Given Input Data is 820, 720, 628, 248

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 248 is 2 x 2 x 2 x 31

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(820, 720) = 29520

GCD(820, 720) = ( 820 x 720 ) / 29520

GCD(820, 720) = 590400 / 29520

GCD(820, 720) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 628

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

LCM(20, 628) = 3140

GCD(20, 628) = ( 20 x 628 ) / 3140

GCD(20, 628) = 12560 / 3140

GCD(20, 628) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 248

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

LCM(4, 248) = 248

GCD(4, 248) = ( 4 x 248 ) / 248

GCD(4, 248) = 992 / 248

GCD(4, 248) = 4

GCD of 820, 720, 628, 248 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 851, 999, 243, 297
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• GCD of 835, 881, 873, 408
• GCD of 819, 276, 400, 467

1. What is the GCD of 820, 720, 628, 248?

GCD of 820, 720, 628, 248 is 4

2. Where do I get the detailed procedure to find GCD of 820, 720, 628, 248?

You can find a detailed procedure to find GCD of 820, 720, 628, 248 on our page.

3. How to find GCD of 820, 720, 628, 248 on a calculator?

You can find the GCD of 820, 720, 628, 248 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.