GCD of 350, 330, 440, 524 Calculator

Given Input numbers are 350, 330, 440, 524

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 350, 330, 440, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 330, 440, 524 is 2.

Therefore, GCD of numbers 350, 330, 440, 524 is 2

Given Input Data is 350, 330, 440, 524

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 330 is 2 x 3 x 5 x 11

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 524 is 2 x 2 x 131

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(350, 330) = 11550

GCD(350, 330) = ( 350 x 330 ) / 11550

GCD(350, 330) = 115500 / 11550

GCD(350, 330) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 440

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

LCM(10, 440) = 440

GCD(10, 440) = ( 10 x 440 ) / 440

GCD(10, 440) = 4400 / 440

GCD(10, 440) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 524

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

LCM(10, 524) = 2620

GCD(10, 524) = ( 10 x 524 ) / 2620

GCD(10, 524) = 5240 / 2620

GCD(10, 524) = 2

GCD of 350, 330, 440, 524 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 463, 969, 720
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• GCD of 936, 887, 215, 639
• GCD of 290, 975, 262, 666
• GCD of 966, 581, 715, 649

1. What is the GCD of 350, 330, 440, 524?

GCD of 350, 330, 440, 524 is 2

2. Where do I get the detailed procedure to find GCD of 350, 330, 440, 524?

You can find a detailed procedure to find GCD of 350, 330, 440, 524 on our page.

3. How to find GCD of 350, 330, 440, 524 on a calculator?

You can find the GCD of 350, 330, 440, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.