GCD of 271, 496, 992, 149 Calculator

Given Input numbers are 271, 496, 992, 149

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 496

List of positive integer divisors of 496 that divides 496 without a remainder.

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

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 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 271, 496, 992, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 496, 992, 149 is 1.

Therefore, GCD of numbers 271, 496, 992, 149 is 1

Given Input Data is 271, 496, 992, 149

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

Prime Factorization of 271 is 271

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

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

Prime Factorization of 149 is 149

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, 496) = 134416

GCD(271, 496) = ( 271 x 496 ) / 134416

GCD(271, 496) = 134416 / 134416

GCD(271, 496) = 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 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 271, 496, 992, 149 is 1

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1. What is the GCD of 271, 496, 992, 149?

GCD of 271, 496, 992, 149 is 1

2. Where do I get the detailed procedure to find GCD of 271, 496, 992, 149?

You can find a detailed procedure to find GCD of 271, 496, 992, 149 on our page.

3. How to find GCD of 271, 496, 992, 149 on a calculator?

You can find the GCD of 271, 496, 992, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.