GCD of 154, 128, 923, 898 Calculator

Given Input numbers are 154, 128, 923, 898

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

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 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 154, 128, 923, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 128, 923, 898 is 1.

Therefore, GCD of numbers 154, 128, 923, 898 is 1

Given Input Data is 154, 128, 923, 898

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

Prime Factorization of 154 is 2 x 7 x 11

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

Prime Factorization of 923 is 13 x 71

Prime Factorization of 898 is 2 x 449

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(154, 128) = 9856

GCD(154, 128) = ( 154 x 128 ) / 9856

GCD(154, 128) = 19712 / 9856

GCD(154, 128) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 923

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

LCM(2, 923) = 1846

GCD(2, 923) = ( 2 x 923 ) / 1846

GCD(2, 923) = 1846 / 1846

GCD(2, 923) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 154, 128, 923, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 483, 663, 326
• GCD of 659, 289, 771, 648
• GCD of 207, 838, 395, 127
• GCD of 386, 144, 734, 343
• GCD of 878, 852, 513, 861

1. What is the GCD of 154, 128, 923, 898?

GCD of 154, 128, 923, 898 is 1

2. Where do I get the detailed procedure to find GCD of 154, 128, 923, 898?

You can find a detailed procedure to find GCD of 154, 128, 923, 898 on our page.

3. How to find GCD of 154, 128, 923, 898 on a calculator?

You can find the GCD of 154, 128, 923, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.