GCD of 272, 715, 87 Calculator

Given Input numbers are 272, 715, 87

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

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Greatest Common Divisior

We found the divisors of 272, 715, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 272, 715, 87 is 1.

Therefore, GCD of numbers 272, 715, 87 is 1

Given Input Data is 272, 715, 87

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

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 87 is 3 x 29

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(272, 715) = 194480

GCD(272, 715) = ( 272 x 715 ) / 194480

GCD(272, 715) = 194480 / 194480

GCD(272, 715) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

GCD of 272, 715, 87 is 1

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1. What is the GCD of 272, 715, 87?

GCD of 272, 715, 87 is 1

2. Where do I get the detailed procedure to find GCD of 272, 715, 87?

You can find a detailed procedure to find GCD of 272, 715, 87 on our page.

3. How to find GCD of 272, 715, 87 on a calculator?

You can find the GCD of 272, 715, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.