GCD of 461, 578, 135 Calculator

Given Input numbers are 461, 578, 135

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

Divisors of 461

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

1, 461

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 461, 578, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 578, 135 is 1.

Therefore, GCD of numbers 461, 578, 135 is 1

Given Input Data is 461, 578, 135

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

Prime Factorization of 461 is 461

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 135 is 3 x 3 x 3 x 5

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(461, 578) = 266458

GCD(461, 578) = ( 461 x 578 ) / 266458

GCD(461, 578) = 266458 / 266458

GCD(461, 578) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 461, 578, 135 is 1

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1. What is the GCD of 461, 578, 135?

GCD of 461, 578, 135 is 1

2. Where do I get the detailed procedure to find GCD of 461, 578, 135?

You can find a detailed procedure to find GCD of 461, 578, 135 on our page.

3. How to find GCD of 461, 578, 135 on a calculator?

You can find the GCD of 461, 578, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.