GCD of 486, 307, 119, 144 Calculator

Given Input numbers are 486, 307, 119, 144

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

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

Greatest Common Divisior

We found the divisors of 486, 307, 119, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 307, 119, 144 is 1.

Therefore, GCD of numbers 486, 307, 119, 144 is 1

Given Input Data is 486, 307, 119, 144

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 307 is 307

Prime Factorization of 119 is 7 x 17

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

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(486, 307) = 149202

GCD(486, 307) = ( 486 x 307 ) / 149202

GCD(486, 307) = 149202 / 149202

GCD(486, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

Step3:

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

GCD of 486, 307, 119, 144 is 1

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• GCD of 878, 598, 534, 649
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1. What is the GCD of 486, 307, 119, 144?

GCD of 486, 307, 119, 144 is 1

2. Where do I get the detailed procedure to find GCD of 486, 307, 119, 144?

You can find a detailed procedure to find GCD of 486, 307, 119, 144 on our page.

3. How to find GCD of 486, 307, 119, 144 on a calculator?

You can find the GCD of 486, 307, 119, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.