GCD of 315, 276, 16, 268 Calculator

Given Input numbers are 315, 276, 16, 268

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

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 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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 315, 276, 16, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 315, 276, 16, 268 is 1.

Therefore, GCD of numbers 315, 276, 16, 268 is 1

Given Input Data is 315, 276, 16, 268

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

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 276 is 2 x 2 x 3 x 23

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(315, 276) = 28980

GCD(315, 276) = ( 315 x 276 ) / 28980

GCD(315, 276) = 86940 / 28980

GCD(315, 276) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 16

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

LCM(3, 16) = 48

GCD(3, 16) = ( 3 x 16 ) / 48

GCD(3, 16) = 48 / 48

GCD(3, 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 315, 276, 16, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 437, 32, 379
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• GCD of 485, 807, 42, 805
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• GCD of 347, 115, 90, 829

1. What is the GCD of 315, 276, 16, 268?

GCD of 315, 276, 16, 268 is 1

2. Where do I get the detailed procedure to find GCD of 315, 276, 16, 268?

You can find a detailed procedure to find GCD of 315, 276, 16, 268 on our page.

3. How to find GCD of 315, 276, 16, 268 on a calculator?

You can find the GCD of 315, 276, 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.