GCD of 271, 432, 992, 114 Calculator

Given Input numbers are 271, 432, 992, 114

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

Divisors of 271

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

1, 271

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 271, 432, 992, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 432, 992, 114 is 1.

Therefore, GCD of numbers 271, 432, 992, 114 is 1

Given Input Data is 271, 432, 992, 114

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

Prime Factorization of 271 is 271

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 114 is 2 x 3 x 19

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(271, 432) = 117072

GCD(271, 432) = ( 271 x 432 ) / 117072

GCD(271, 432) = 117072 / 117072

GCD(271, 432) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 271, 432, 992, 114 is 1

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1. What is the GCD of 271, 432, 992, 114?

GCD of 271, 432, 992, 114 is 1

2. Where do I get the detailed procedure to find GCD of 271, 432, 992, 114?

You can find a detailed procedure to find GCD of 271, 432, 992, 114 on our page.

3. How to find GCD of 271, 432, 992, 114 on a calculator?

You can find the GCD of 271, 432, 992, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.