GCD of 15, 255, 252, 735 Calculator

Given Input numbers are 15, 255, 252, 735

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

Divisors of 15

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

1, 3, 5, 15

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 15, 255, 252, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 255, 252, 735 is 3.

Therefore, GCD of numbers 15, 255, 252, 735 is 3

Given Input Data is 15, 255, 252, 735

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(15, 255) = 255

GCD(15, 255) = ( 15 x 255 ) / 255

GCD(15, 255) = 3825 / 255

GCD(15, 255) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 252

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

LCM(15, 252) = 1260

GCD(15, 252) = ( 15 x 252 ) / 1260

GCD(15, 252) = 3780 / 1260

GCD(15, 252) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 735

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

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

GCD(3, 735) = 2205 / 735

GCD(3, 735) = 3

GCD of 15, 255, 252, 735 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 632, 617, 970
• GCD of 48, 142, 147, 724
• GCD of 56, 240, 376, 305
• GCD of 64, 727, 385, 839
• GCD of 53, 719, 333, 434

1. What is the GCD of 15, 255, 252, 735?

GCD of 15, 255, 252, 735 is 3

2. Where do I get the detailed procedure to find GCD of 15, 255, 252, 735?

You can find a detailed procedure to find GCD of 15, 255, 252, 735 on our page.

3. How to find GCD of 15, 255, 252, 735 on a calculator?

You can find the GCD of 15, 255, 252, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.