GCD of 750, 810, 277, 488 Calculator

Given Input numbers are 750, 810, 277, 488

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 810

List of positive integer divisors of 810 that divides 810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Greatest Common Divisior

We found the divisors of 750, 810, 277, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 810, 277, 488 is 1.

Therefore, GCD of numbers 750, 810, 277, 488 is 1

Given Input Data is 750, 810, 277, 488

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 810 is 2 x 3 x 3 x 3 x 3 x 5

Prime Factorization of 277 is 277

Prime Factorization of 488 is 2 x 2 x 2 x 61

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, 810) = 20250

GCD(750, 810) = ( 750 x 810 ) / 20250

GCD(750, 810) = 607500 / 20250

GCD(750, 810) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 277

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

LCM(30, 277) = 8310

GCD(30, 277) = ( 30 x 277 ) / 8310

GCD(30, 277) = 8310 / 8310

GCD(30, 277) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 488

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

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

GCD(1, 488) = 488 / 488

GCD(1, 488) = 1

GCD of 750, 810, 277, 488 is 1

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1. What is the GCD of 750, 810, 277, 488?

GCD of 750, 810, 277, 488 is 1

2. Where do I get the detailed procedure to find GCD of 750, 810, 277, 488?

You can find a detailed procedure to find GCD of 750, 810, 277, 488 on our page.

3. How to find GCD of 750, 810, 277, 488 on a calculator?

You can find the GCD of 750, 810, 277, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.