GCD of 748, 156, 23, 898 Calculator

Given Input numbers are 748, 156, 23, 898

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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 748, 156, 23, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 156, 23, 898 is 1.

Therefore, GCD of numbers 748, 156, 23, 898 is 1

Given Input Data is 748, 156, 23, 898

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 23 is 23

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(748, 156) = 29172

GCD(748, 156) = ( 748 x 156 ) / 29172

GCD(748, 156) = 116688 / 29172

GCD(748, 156) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 23

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

LCM(4, 23) = 92

GCD(4, 23) = ( 4 x 23 ) / 92

GCD(4, 23) = 92 / 92

GCD(4, 23) = 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 748, 156, 23, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 668, 18, 103
• GCD of 466, 304, 54, 760
• GCD of 611, 625, 29, 296
• GCD of 270, 360, 18, 898
• GCD of 407, 348, 75, 722

1. What is the GCD of 748, 156, 23, 898?

GCD of 748, 156, 23, 898 is 1

2. Where do I get the detailed procedure to find GCD of 748, 156, 23, 898?

You can find a detailed procedure to find GCD of 748, 156, 23, 898 on our page.

3. How to find GCD of 748, 156, 23, 898 on a calculator?

You can find the GCD of 748, 156, 23, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.