GCD of 975, 600, 444, 759 Calculator

Given Input numbers are 975, 600, 444, 759

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

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Greatest Common Divisior

We found the divisors of 975, 600, 444, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 600, 444, 759 is 3.

Therefore, GCD of numbers 975, 600, 444, 759 is 3

Given Input Data is 975, 600, 444, 759

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

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 759 is 3 x 11 x 23

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(975, 600) = 7800

GCD(975, 600) = ( 975 x 600 ) / 7800

GCD(975, 600) = 585000 / 7800

GCD(975, 600) = 75

Step2:

Here we consider the GCD from the above i.e. 75 as first number and the next as 444

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

LCM(75, 444) = 11100

GCD(75, 444) = ( 75 x 444 ) / 11100

GCD(75, 444) = 33300 / 11100

GCD(75, 444) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 759

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

LCM(3, 759) = 759

GCD(3, 759) = ( 3 x 759 ) / 759

GCD(3, 759) = 2277 / 759

GCD(3, 759) = 3

GCD of 975, 600, 444, 759 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 192, 656, 276, 689
• GCD of 231, 224, 361, 890
• GCD of 261, 221, 117, 306
• GCD of 959, 997, 622, 395
• GCD of 752, 810, 486, 394

1. What is the GCD of 975, 600, 444, 759?

GCD of 975, 600, 444, 759 is 3

2. Where do I get the detailed procedure to find GCD of 975, 600, 444, 759?

You can find a detailed procedure to find GCD of 975, 600, 444, 759 on our page.

3. How to find GCD of 975, 600, 444, 759 on a calculator?

You can find the GCD of 975, 600, 444, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.