GCD of 270, 736, 72, 467 Calculator

Given Input numbers are 270, 736, 72, 467

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

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 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 270, 736, 72, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 736, 72, 467 is 1.

Therefore, GCD of numbers 270, 736, 72, 467 is 1

Given Input Data is 270, 736, 72, 467

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

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

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 467 is 467

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(270, 736) = 99360

GCD(270, 736) = ( 270 x 736 ) / 99360

GCD(270, 736) = 198720 / 99360

GCD(270, 736) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 467

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

LCM(2, 467) = 934

GCD(2, 467) = ( 2 x 467 ) / 934

GCD(2, 467) = 934 / 934

GCD(2, 467) = 1

GCD of 270, 736, 72, 467 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 529, 74, 976
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• GCD of 373, 646, 81, 779

1. What is the GCD of 270, 736, 72, 467?

GCD of 270, 736, 72, 467 is 1

2. Where do I get the detailed procedure to find GCD of 270, 736, 72, 467?

You can find a detailed procedure to find GCD of 270, 736, 72, 467 on our page.

3. How to find GCD of 270, 736, 72, 467 on a calculator?

You can find the GCD of 270, 736, 72, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.