GCD of 760, 644, 30, 884 Calculator

Given Input numbers are 760, 644, 30, 884

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 760, 644, 30, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 644, 30, 884 is 2.

Therefore, GCD of numbers 760, 644, 30, 884 is 2

Given Input Data is 760, 644, 30, 884

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(760, 644) = 122360

GCD(760, 644) = ( 760 x 644 ) / 122360

GCD(760, 644) = 489440 / 122360

GCD(760, 644) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 30

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

LCM(4, 30) = 60

GCD(4, 30) = ( 4 x 30 ) / 60

GCD(4, 30) = 120 / 60

GCD(4, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 884

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

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

GCD(2, 884) = 1768 / 884

GCD(2, 884) = 2

GCD of 760, 644, 30, 884 is 2

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1. What is the GCD of 760, 644, 30, 884?

GCD of 760, 644, 30, 884 is 2

2. Where do I get the detailed procedure to find GCD of 760, 644, 30, 884?

You can find a detailed procedure to find GCD of 760, 644, 30, 884 on our page.

3. How to find GCD of 760, 644, 30, 884 on a calculator?

You can find the GCD of 760, 644, 30, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.