GCD of 264, 143, 461 Calculator

Given Input numbers are 264, 143, 461

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 264, 143, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 143, 461 is 1.

Therefore, GCD of numbers 264, 143, 461 is 1

Given Input Data is 264, 143, 461

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 143 is 11 x 13

Prime Factorization of 461 is 461

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(264, 143) = 3432

GCD(264, 143) = ( 264 x 143 ) / 3432

GCD(264, 143) = 37752 / 3432

GCD(264, 143) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 461

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

LCM(11, 461) = 5071

GCD(11, 461) = ( 11 x 461 ) / 5071

GCD(11, 461) = 5071 / 5071

GCD(11, 461) = 1

GCD of 264, 143, 461 is 1

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1. What is the GCD of 264, 143, 461?

GCD of 264, 143, 461 is 1

2. Where do I get the detailed procedure to find GCD of 264, 143, 461?

You can find a detailed procedure to find GCD of 264, 143, 461 on our page.

3. How to find GCD of 264, 143, 461 on a calculator?

You can find the GCD of 264, 143, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.