GCD of 730, 240, 416, 220 Calculator

Given Input numbers are 730, 240, 416, 220

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

Divisors of 730

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

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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

Greatest Common Divisior

We found the divisors of 730, 240, 416, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 730, 240, 416, 220 is 2.

Therefore, GCD of numbers 730, 240, 416, 220 is 2

Given Input Data is 730, 240, 416, 220

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

Prime Factorization of 730 is 2 x 5 x 73

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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

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(730, 240) = 17520

GCD(730, 240) = ( 730 x 240 ) / 17520

GCD(730, 240) = 175200 / 17520

GCD(730, 240) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 416

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

LCM(10, 416) = 2080

GCD(10, 416) = ( 10 x 416 ) / 2080

GCD(10, 416) = 4160 / 2080

GCD(10, 416) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 220

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

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

GCD(2, 220) = 440 / 220

GCD(2, 220) = 2

GCD of 730, 240, 416, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 281, 184, 622
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• GCD of 252, 777, 913, 812
• GCD of 329, 407, 415, 108
• GCD of 704, 484, 278, 247

1. What is the GCD of 730, 240, 416, 220?

GCD of 730, 240, 416, 220 is 2

2. Where do I get the detailed procedure to find GCD of 730, 240, 416, 220?

You can find a detailed procedure to find GCD of 730, 240, 416, 220 on our page.

3. How to find GCD of 730, 240, 416, 220 on a calculator?

You can find the GCD of 730, 240, 416, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.