GCD of 220, 504, 48, 730 Calculator

Given Input numbers are 220, 504, 48, 730

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 220, 504, 48, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 504, 48, 730 is 2.

Therefore, GCD of numbers 220, 504, 48, 730 is 2

Given Input Data is 220, 504, 48, 730

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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

Prime Factorization of 730 is 2 x 5 x 73

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(220, 504) = 27720

GCD(220, 504) = ( 220 x 504 ) / 27720

GCD(220, 504) = 110880 / 27720

GCD(220, 504) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 48

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

LCM(4, 48) = 48

GCD(4, 48) = ( 4 x 48 ) / 48

GCD(4, 48) = 192 / 48

GCD(4, 48) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 730

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

LCM(4, 730) = 1460

GCD(4, 730) = ( 4 x 730 ) / 1460

GCD(4, 730) = 2920 / 1460

GCD(4, 730) = 2

GCD of 220, 504, 48, 730 is 2

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1. What is the GCD of 220, 504, 48, 730?

GCD of 220, 504, 48, 730 is 2

2. Where do I get the detailed procedure to find GCD of 220, 504, 48, 730?

You can find a detailed procedure to find GCD of 220, 504, 48, 730 on our page.

3. How to find GCD of 220, 504, 48, 730 on a calculator?

You can find the GCD of 220, 504, 48, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.