GCD of 89, 271, 128, 136 Calculator

Given Input numbers are 89, 271, 128, 136

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

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 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 89, 271, 128, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 271, 128, 136 is 1.

Therefore, GCD of numbers 89, 271, 128, 136 is 1

Given Input Data is 89, 271, 128, 136

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

Prime Factorization of 89 is 89

Prime Factorization of 271 is 271

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

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(89, 271) = 24119

GCD(89, 271) = ( 89 x 271 ) / 24119

GCD(89, 271) = 24119 / 24119

GCD(89, 271) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 89, 271, 128, 136 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 373, 850, 562
• GCD of 71, 113, 542, 927
• GCD of 34, 680, 963, 897
• GCD of 86, 194, 517, 414
• GCD of 68, 628, 392, 445

1. What is the GCD of 89, 271, 128, 136?

GCD of 89, 271, 128, 136 is 1

2. Where do I get the detailed procedure to find GCD of 89, 271, 128, 136?

You can find a detailed procedure to find GCD of 89, 271, 128, 136 on our page.

3. How to find GCD of 89, 271, 128, 136 on a calculator?

You can find the GCD of 89, 271, 128, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.