GCD of 908, 120, 171, 143 Calculator

Given Input numbers are 908, 120, 171, 143

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Greatest Common Divisior

We found the divisors of 908, 120, 171, 143 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 120, 171, 143 is 1.

Therefore, GCD of numbers 908, 120, 171, 143 is 1

Given Input Data is 908, 120, 171, 143

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 143 is 11 x 13

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(908, 120) = 27240

GCD(908, 120) = ( 908 x 120 ) / 27240

GCD(908, 120) = 108960 / 27240

GCD(908, 120) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 171

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

LCM(4, 171) = 684

GCD(4, 171) = ( 4 x 171 ) / 684

GCD(4, 171) = 684 / 684

GCD(4, 171) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 1

GCD of 908, 120, 171, 143 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 979, 924, 597
• GCD of 871, 419, 563, 334
• GCD of 862, 964, 713, 972
• GCD of 612, 391, 414, 110
• GCD of 152, 613, 231, 807

1. What is the GCD of 908, 120, 171, 143?

GCD of 908, 120, 171, 143 is 1

2. Where do I get the detailed procedure to find GCD of 908, 120, 171, 143?

You can find a detailed procedure to find GCD of 908, 120, 171, 143 on our page.

3. How to find GCD of 908, 120, 171, 143 on a calculator?

You can find the GCD of 908, 120, 171, 143 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.