GCD of 747, 612, 375, 990 Calculator

Given Input numbers are 747, 612, 375, 990

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 747, 612, 375, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 612, 375, 990 is 3.

Therefore, GCD of numbers 747, 612, 375, 990 is 3

Given Input Data is 747, 612, 375, 990

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

Prime Factorization of 747 is 3 x 3 x 83

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(747, 612) = 50796

GCD(747, 612) = ( 747 x 612 ) / 50796

GCD(747, 612) = 457164 / 50796

GCD(747, 612) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 375

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

LCM(9, 375) = 1125

GCD(9, 375) = ( 9 x 375 ) / 1125

GCD(9, 375) = 3375 / 1125

GCD(9, 375) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 990

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

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

GCD(3, 990) = 2970 / 990

GCD(3, 990) = 3

GCD of 747, 612, 375, 990 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 674, 188, 383
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• GCD of 458, 574, 958, 240

1. What is the GCD of 747, 612, 375, 990?

GCD of 747, 612, 375, 990 is 3

2. Where do I get the detailed procedure to find GCD of 747, 612, 375, 990?

You can find a detailed procedure to find GCD of 747, 612, 375, 990 on our page.

3. How to find GCD of 747, 612, 375, 990 on a calculator?

You can find the GCD of 747, 612, 375, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.