GCD of 750, 820, 81, 144 Calculator

Given Input numbers are 750, 820, 81, 144

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 750, 820, 81, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 820, 81, 144 is 1.

Therefore, GCD of numbers 750, 820, 81, 144 is 1

Given Input Data is 750, 820, 81, 144

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

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(750, 820) = 61500

GCD(750, 820) = ( 750 x 820 ) / 61500

GCD(750, 820) = 615000 / 61500

GCD(750, 820) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 81

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

LCM(10, 81) = 810

GCD(10, 81) = ( 10 x 81 ) / 810

GCD(10, 81) = 810 / 810

GCD(10, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 750, 820, 81, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 407, 60, 672
• GCD of 669, 434, 24, 559
• GCD of 118, 221, 61, 294
• GCD of 737, 874, 21, 880
• GCD of 265, 854, 30, 918

1. What is the GCD of 750, 820, 81, 144?

GCD of 750, 820, 81, 144 is 1

2. Where do I get the detailed procedure to find GCD of 750, 820, 81, 144?

You can find a detailed procedure to find GCD of 750, 820, 81, 144 on our page.

3. How to find GCD of 750, 820, 81, 144 on a calculator?

You can find the GCD of 750, 820, 81, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.