GCD of 243, 624, 15, 705 Calculator

Given Input numbers are 243, 624, 15, 705

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

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 15

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

1, 3, 5, 15

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 243, 624, 15, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 624, 15, 705 is 3.

Therefore, GCD of numbers 243, 624, 15, 705 is 3

Given Input Data is 243, 624, 15, 705

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 15 is 3 x 5

Prime Factorization of 705 is 3 x 5 x 47

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(243, 624) = 50544

GCD(243, 624) = ( 243 x 624 ) / 50544

GCD(243, 624) = 151632 / 50544

GCD(243, 624) = 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 705

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

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

GCD(3, 705) = 2115 / 705

GCD(3, 705) = 3

GCD of 243, 624, 15, 705 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 659, 33, 929
• GCD of 872, 370, 97, 927
• GCD of 931, 145, 35, 870
• GCD of 527, 247, 55, 743
• GCD of 263, 447, 54, 547

1. What is the GCD of 243, 624, 15, 705?

GCD of 243, 624, 15, 705 is 3

2. Where do I get the detailed procedure to find GCD of 243, 624, 15, 705?

You can find a detailed procedure to find GCD of 243, 624, 15, 705 on our page.

3. How to find GCD of 243, 624, 15, 705 on a calculator?

You can find the GCD of 243, 624, 15, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.