GCD of 924, 114, 16, 620 Calculator

Given Input numbers are 924, 114, 16, 620

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

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 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 924, 114, 16, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 924, 114, 16, 620 is 2.

Therefore, GCD of numbers 924, 114, 16, 620 is 2

Given Input Data is 924, 114, 16, 620

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

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 620 is 2 x 2 x 5 x 31

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(924, 114) = 17556

GCD(924, 114) = ( 924 x 114 ) / 17556

GCD(924, 114) = 105336 / 17556

GCD(924, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 16

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

LCM(6, 16) = 48

GCD(6, 16) = ( 6 x 16 ) / 48

GCD(6, 16) = 96 / 48

GCD(6, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 620

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

LCM(2, 620) = 620

GCD(2, 620) = ( 2 x 620 ) / 620

GCD(2, 620) = 1240 / 620

GCD(2, 620) = 2

GCD of 924, 114, 16, 620 is 2

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1. What is the GCD of 924, 114, 16, 620?

GCD of 924, 114, 16, 620 is 2

2. Where do I get the detailed procedure to find GCD of 924, 114, 16, 620?

You can find a detailed procedure to find GCD of 924, 114, 16, 620 on our page.

3. How to find GCD of 924, 114, 16, 620 on a calculator?

You can find the GCD of 924, 114, 16, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.