GCD of 520, 658, 720, 628 Calculator

Given Input numbers are 520, 658, 720, 628

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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

Greatest Common Divisior

We found the divisors of 520, 658, 720, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 658, 720, 628 is 2.

Therefore, GCD of numbers 520, 658, 720, 628 is 2

Given Input Data is 520, 658, 720, 628

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 658 is 2 x 7 x 47

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

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(520, 658) = 171080

GCD(520, 658) = ( 520 x 658 ) / 171080

GCD(520, 658) = 342160 / 171080

GCD(520, 658) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 628

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

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

GCD(2, 628) = 1256 / 628

GCD(2, 628) = 2

GCD of 520, 658, 720, 628 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 598, 178, 853
• GCD of 658, 700, 396, 406
• GCD of 923, 176, 313, 951
• GCD of 745, 477, 378, 288
• GCD of 437, 869, 995, 964

1. What is the GCD of 520, 658, 720, 628?

GCD of 520, 658, 720, 628 is 2

2. Where do I get the detailed procedure to find GCD of 520, 658, 720, 628?

You can find a detailed procedure to find GCD of 520, 658, 720, 628 on our page.

3. How to find GCD of 520, 658, 720, 628 on a calculator?

You can find the GCD of 520, 658, 720, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.