GCD of 169, 143, 990, 240 Calculator

Given Input numbers are 169, 143, 990, 240

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 143

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

1, 11, 13, 143

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 169, 143, 990, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 169, 143, 990, 240 is 1.

Therefore, GCD of numbers 169, 143, 990, 240 is 1

Given Input Data is 169, 143, 990, 240

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

Prime Factorization of 169 is 13 x 13

Prime Factorization of 143 is 11 x 13

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

Prime Factorization of 240 is 2 x 2 x 2 x 2 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(169, 143) = 1859

GCD(169, 143) = ( 169 x 143 ) / 1859

GCD(169, 143) = 24167 / 1859

GCD(169, 143) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 990

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

LCM(13, 990) = 12870

GCD(13, 990) = ( 13 x 990 ) / 12870

GCD(13, 990) = 12870 / 12870

GCD(13, 990) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 169, 143, 990, 240 is 1

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1. What is the GCD of 169, 143, 990, 240?

GCD of 169, 143, 990, 240 is 1

2. Where do I get the detailed procedure to find GCD of 169, 143, 990, 240?

You can find a detailed procedure to find GCD of 169, 143, 990, 240 on our page.

3. How to find GCD of 169, 143, 990, 240 on a calculator?

You can find the GCD of 169, 143, 990, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.