GCD of 644, 128, 53, 135 Calculator

Given Input numbers are 644, 128, 53, 135

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

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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 644, 128, 53, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 128, 53, 135 is 1.

Therefore, GCD of numbers 644, 128, 53, 135 is 1

Given Input Data is 644, 128, 53, 135

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 53 is 53

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(644, 128) = 20608

GCD(644, 128) = ( 644 x 128 ) / 20608

GCD(644, 128) = 82432 / 20608

GCD(644, 128) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 53

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

LCM(4, 53) = 212

GCD(4, 53) = ( 4 x 53 ) / 212

GCD(4, 53) = 212 / 212

GCD(4, 53) = 1

Step3:

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 644, 128, 53, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 289, 694, 53, 386
• GCD of 274, 432, 87, 251
• GCD of 682, 407, 23, 343
• GCD of 897, 135, 69, 898
• GCD of 418, 943, 37, 907

1. What is the GCD of 644, 128, 53, 135?

GCD of 644, 128, 53, 135 is 1

2. Where do I get the detailed procedure to find GCD of 644, 128, 53, 135?

You can find a detailed procedure to find GCD of 644, 128, 53, 135 on our page.

3. How to find GCD of 644, 128, 53, 135 on a calculator?

You can find the GCD of 644, 128, 53, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.