GCD of 80, 119, 144, 588 Calculator

Given Input numbers are 80, 119, 144, 588

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Greatest Common Divisior

We found the divisors of 80, 119, 144, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 119, 144, 588 is 1.

Therefore, GCD of numbers 80, 119, 144, 588 is 1

Given Input Data is 80, 119, 144, 588

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 119 is 7 x 17

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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(80, 119) = 9520

GCD(80, 119) = ( 80 x 119 ) / 9520

GCD(80, 119) = 9520 / 9520

GCD(80, 119) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 588

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

LCM(1, 588) = 588

GCD(1, 588) = ( 1 x 588 ) / 588

GCD(1, 588) = 588 / 588

GCD(1, 588) = 1

GCD of 80, 119, 144, 588 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 239, 901, 248
• GCD of 92, 353, 696, 924
• GCD of 23, 341, 102, 107
• GCD of 72, 651, 741, 298
• GCD of 70, 844, 751, 250

1. What is the GCD of 80, 119, 144, 588?

GCD of 80, 119, 144, 588 is 1

2. Where do I get the detailed procedure to find GCD of 80, 119, 144, 588?

You can find a detailed procedure to find GCD of 80, 119, 144, 588 on our page.

3. How to find GCD of 80, 119, 144, 588 on a calculator?

You can find the GCD of 80, 119, 144, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.