GCD of 550, 924, 77, 330 Calculator

Given Input numbers are 550, 924, 77, 330

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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

Greatest Common Divisior

We found the divisors of 550, 924, 77, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 924, 77, 330 is 11.

Therefore, GCD of numbers 550, 924, 77, 330 is 11

Given Input Data is 550, 924, 77, 330

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 77 is 7 x 11

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

Highest common occurrences in the given inputs are 11¹

Multiplying them we get the GCD as 11

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(550, 924) = 23100

GCD(550, 924) = ( 550 x 924 ) / 23100

GCD(550, 924) = 508200 / 23100

GCD(550, 924) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 77

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

LCM(22, 77) = 154

GCD(22, 77) = ( 22 x 77 ) / 154

GCD(22, 77) = 1694 / 154

GCD(22, 77) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 330

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

LCM(11, 330) = 330

GCD(11, 330) = ( 11 x 330 ) / 330

GCD(11, 330) = 3630 / 330

GCD(11, 330) = 11

GCD of 550, 924, 77, 330 is 11

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• GCD of 703, 983, 13, 943
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• GCD of 168, 261, 33, 506
• GCD of 615, 204, 76, 778

1. What is the GCD of 550, 924, 77, 330?

GCD of 550, 924, 77, 330 is 11

2. Where do I get the detailed procedure to find GCD of 550, 924, 77, 330?

You can find a detailed procedure to find GCD of 550, 924, 77, 330 on our page.

3. How to find GCD of 550, 924, 77, 330 on a calculator?

You can find the GCD of 550, 924, 77, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.