GCD of 951, 270, 15, 936 Calculator

Given Input numbers are 951, 270, 15, 936

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

Divisors of 951

List of positive integer divisors of 951 that divides 951 without a remainder.

1, 3, 317, 951

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

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

Divisors of 15

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

1, 3, 5, 15

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Greatest Common Divisior

We found the divisors of 951, 270, 15, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 951, 270, 15, 936 is 3.

Therefore, GCD of numbers 951, 270, 15, 936 is 3

Given Input Data is 951, 270, 15, 936

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

Prime Factorization of 951 is 3 x 317

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 15 is 3 x 5

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(951, 270) = 85590

GCD(951, 270) = ( 951 x 270 ) / 85590

GCD(951, 270) = 256770 / 85590

GCD(951, 270) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 936

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

LCM(3, 936) = 936

GCD(3, 936) = ( 3 x 936 ) / 936

GCD(3, 936) = 2808 / 936

GCD(3, 936) = 3

GCD of 951, 270, 15, 936 is 3

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1. What is the GCD of 951, 270, 15, 936?

GCD of 951, 270, 15, 936 is 3

2. Where do I get the detailed procedure to find GCD of 951, 270, 15, 936?

You can find a detailed procedure to find GCD of 951, 270, 15, 936 on our page.

3. How to find GCD of 951, 270, 15, 936 on a calculator?

You can find the GCD of 951, 270, 15, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.