GCD of 92, 271, 715, 108 Calculator

Given Input numbers are 92, 271, 715, 108

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

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 92, 271, 715, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 271, 715, 108 is 1.

Therefore, GCD of numbers 92, 271, 715, 108 is 1

Given Input Data is 92, 271, 715, 108

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

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 271 is 271

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(92, 271) = 24932

GCD(92, 271) = ( 92 x 271 ) / 24932

GCD(92, 271) = 24932 / 24932

GCD(92, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 92, 271, 715, 108 is 1

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1. What is the GCD of 92, 271, 715, 108?

GCD of 92, 271, 715, 108 is 1

2. Where do I get the detailed procedure to find GCD of 92, 271, 715, 108?

You can find a detailed procedure to find GCD of 92, 271, 715, 108 on our page.

3. How to find GCD of 92, 271, 715, 108 on a calculator?

You can find the GCD of 92, 271, 715, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.