GCD of 750, 315, 15, 268 Calculator

Given Input numbers are 750, 315, 15, 268

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 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 750, 315, 15, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 315, 15, 268 is 1.

Therefore, GCD of numbers 750, 315, 15, 268 is 1

Given Input Data is 750, 315, 15, 268

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 315 is 3 x 3 x 5 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 268 is 2 x 2 x 67

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, 315) = 15750

GCD(750, 315) = ( 750 x 315 ) / 15750

GCD(750, 315) = 236250 / 15750

GCD(750, 315) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 15

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

LCM(15, 15) = 15

GCD(15, 15) = ( 15 x 15 ) / 15

GCD(15, 15) = 225 / 15

GCD(15, 15) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 268

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

LCM(15, 268) = 4020

GCD(15, 268) = ( 15 x 268 ) / 4020

GCD(15, 268) = 4020 / 4020

GCD(15, 268) = 1

GCD of 750, 315, 15, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 517, 417, 99, 748
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• GCD of 716, 999, 25, 629
• GCD of 381, 829, 58, 708
• GCD of 681, 330, 41, 777

1. What is the GCD of 750, 315, 15, 268?

GCD of 750, 315, 15, 268 is 1

2. Where do I get the detailed procedure to find GCD of 750, 315, 15, 268?

You can find a detailed procedure to find GCD of 750, 315, 15, 268 on our page.

3. How to find GCD of 750, 315, 15, 268 on a calculator?

You can find the GCD of 750, 315, 15, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.