GCD of 765, 210, 16, 268 Calculator

Given Input numbers are 765, 210, 16, 268

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

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

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 765, 210, 16, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 765, 210, 16, 268 is 1.

Therefore, GCD of numbers 765, 210, 16, 268 is 1

Given Input Data is 765, 210, 16, 268

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

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

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(765, 210) = 10710

GCD(765, 210) = ( 765 x 210 ) / 10710

GCD(765, 210) = 160650 / 10710

GCD(765, 210) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 16

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

LCM(15, 16) = 240

GCD(15, 16) = ( 15 x 16 ) / 240

GCD(15, 16) = 240 / 240

GCD(15, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 765, 210, 16, 268 is 1

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1. What is the GCD of 765, 210, 16, 268?

GCD of 765, 210, 16, 268 is 1

2. Where do I get the detailed procedure to find GCD of 765, 210, 16, 268?

You can find a detailed procedure to find GCD of 765, 210, 16, 268 on our page.

3. How to find GCD of 765, 210, 16, 268 on a calculator?

You can find the GCD of 765, 210, 16, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.