GCD of 426, 135, 81, 657 Calculator

Given Input numbers are 426, 135, 81, 657

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

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 135

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

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

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 426, 135, 81, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 426, 135, 81, 657 is 3.

Therefore, GCD of numbers 426, 135, 81, 657 is 3

Given Input Data is 426, 135, 81, 657

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

Prime Factorization of 426 is 2 x 3 x 71

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 657 is 3 x 3 x 73

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(426, 135) = 19170

GCD(426, 135) = ( 426 x 135 ) / 19170

GCD(426, 135) = 57510 / 19170

GCD(426, 135) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 81

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

LCM(3, 81) = 81

GCD(3, 81) = ( 3 x 81 ) / 81

GCD(3, 81) = 243 / 81

GCD(3, 81) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 657

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

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

GCD(3, 657) = 1971 / 657

GCD(3, 657) = 3

GCD of 426, 135, 81, 657 is 3

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1. What is the GCD of 426, 135, 81, 657?

GCD of 426, 135, 81, 657 is 3

2. Where do I get the detailed procedure to find GCD of 426, 135, 81, 657?

You can find a detailed procedure to find GCD of 426, 135, 81, 657 on our page.

3. How to find GCD of 426, 135, 81, 657 on a calculator?

You can find the GCD of 426, 135, 81, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.