GCD of 750, 375, 87, 287 Calculator

Given Input numbers are 750, 375, 87, 287

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 375

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

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

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 750, 375, 87, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 375, 87, 287 is 1.

Therefore, GCD of numbers 750, 375, 87, 287 is 1

Given Input Data is 750, 375, 87, 287

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 375 is 3 x 5 x 5 x 5

Prime Factorization of 87 is 3 x 29

Prime Factorization of 287 is 7 x 41

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, 375) = 750

GCD(750, 375) = ( 750 x 375 ) / 750

GCD(750, 375) = 281250 / 750

GCD(750, 375) = 375

Step2:

Here we consider the GCD from the above i.e. 375 as first number and the next as 87

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

LCM(375, 87) = 10875

GCD(375, 87) = ( 375 x 87 ) / 10875

GCD(375, 87) = 32625 / 10875

GCD(375, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 287

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

LCM(3, 287) = 861

GCD(3, 287) = ( 3 x 287 ) / 861

GCD(3, 287) = 861 / 861

GCD(3, 287) = 1

GCD of 750, 375, 87, 287 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 804, 26, 621
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• GCD of 415, 233, 24, 625

1. What is the GCD of 750, 375, 87, 287?

GCD of 750, 375, 87, 287 is 1

2. Where do I get the detailed procedure to find GCD of 750, 375, 87, 287?

You can find a detailed procedure to find GCD of 750, 375, 87, 287 on our page.

3. How to find GCD of 750, 375, 87, 287 on a calculator?

You can find the GCD of 750, 375, 87, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.