GCD of 220, 264, 74, 928 Calculator

Given Input numbers are 220, 264, 74, 928

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 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 220, 264, 74, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 264, 74, 928 is 2.

Therefore, GCD of numbers 220, 264, 74, 928 is 2

Given Input Data is 220, 264, 74, 928

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 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 74 is 2 x 37

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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, 264) = 1320

GCD(220, 264) = ( 220 x 264 ) / 1320

GCD(220, 264) = 58080 / 1320

GCD(220, 264) = 44

Step2:

Here we consider the GCD from the above i.e. 44 as first number and the next as 74

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

LCM(44, 74) = 1628

GCD(44, 74) = ( 44 x 74 ) / 1628

GCD(44, 74) = 3256 / 1628

GCD(44, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 928

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

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

GCD(2, 928) = 1856 / 928

GCD(2, 928) = 2

GCD of 220, 264, 74, 928 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 551, 23, 192
• GCD of 144, 693, 74, 279
• GCD of 361, 214, 68, 406
• GCD of 544, 305, 75, 261
• GCD of 748, 325, 94, 276

1. What is the GCD of 220, 264, 74, 928?

GCD of 220, 264, 74, 928 is 2

2. Where do I get the detailed procedure to find GCD of 220, 264, 74, 928?

You can find a detailed procedure to find GCD of 220, 264, 74, 928 on our page.

3. How to find GCD of 220, 264, 74, 928 on a calculator?

You can find the GCD of 220, 264, 74, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.