GCD of 880, 242, 24, 754 Calculator

Given Input numbers are 880, 242, 24, 754

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 880, 242, 24, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 242, 24, 754 is 2.

Therefore, GCD of numbers 880, 242, 24, 754 is 2

Given Input Data is 880, 242, 24, 754

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 754 is 2 x 13 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(880, 242) = 9680

GCD(880, 242) = ( 880 x 242 ) / 9680

GCD(880, 242) = 212960 / 9680

GCD(880, 242) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 24

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

LCM(22, 24) = 264

GCD(22, 24) = ( 22 x 24 ) / 264

GCD(22, 24) = 528 / 264

GCD(22, 24) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 754

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

LCM(2, 754) = 754

GCD(2, 754) = ( 2 x 754 ) / 754

GCD(2, 754) = 1508 / 754

GCD(2, 754) = 2

GCD of 880, 242, 24, 754 is 2

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1. What is the GCD of 880, 242, 24, 754?

GCD of 880, 242, 24, 754 is 2

2. Where do I get the detailed procedure to find GCD of 880, 242, 24, 754?

You can find a detailed procedure to find GCD of 880, 242, 24, 754 on our page.

3. How to find GCD of 880, 242, 24, 754 on a calculator?

You can find the GCD of 880, 242, 24, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.