GCD of 612, 984, 44, 704 Calculator

Given Input numbers are 612, 984, 44, 704

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

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Greatest Common Divisior

We found the divisors of 612, 984, 44, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 984, 44, 704 is 4.

Therefore, GCD of numbers 612, 984, 44, 704 is 4

Given Input Data is 612, 984, 44, 704

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

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(612, 984) = 50184

GCD(612, 984) = ( 612 x 984 ) / 50184

GCD(612, 984) = 602208 / 50184

GCD(612, 984) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 44

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

LCM(12, 44) = 132

GCD(12, 44) = ( 12 x 44 ) / 132

GCD(12, 44) = 528 / 132

GCD(12, 44) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 704

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

LCM(4, 704) = 704

GCD(4, 704) = ( 4 x 704 ) / 704

GCD(4, 704) = 2816 / 704

GCD(4, 704) = 4

GCD of 612, 984, 44, 704 is 4

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• GCD of 875, 960, 24, 472
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1. What is the GCD of 612, 984, 44, 704?

GCD of 612, 984, 44, 704 is 4

2. Where do I get the detailed procedure to find GCD of 612, 984, 44, 704?

You can find a detailed procedure to find GCD of 612, 984, 44, 704 on our page.

3. How to find GCD of 612, 984, 44, 704 on a calculator?

You can find the GCD of 612, 984, 44, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.