GCD of 144, 842, 159, 707 Calculator

Given Input numbers are 144, 842, 159, 707

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

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 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 144, 842, 159, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 842, 159, 707 is 1.

Therefore, GCD of numbers 144, 842, 159, 707 is 1

Given Input Data is 144, 842, 159, 707

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

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 159 is 3 x 53

Prime Factorization of 707 is 7 x 101

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(144, 842) = 60624

GCD(144, 842) = ( 144 x 842 ) / 60624

GCD(144, 842) = 121248 / 60624

GCD(144, 842) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 159

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

LCM(2, 159) = 318

GCD(2, 159) = ( 2 x 159 ) / 318

GCD(2, 159) = 318 / 318

GCD(2, 159) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 707

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

LCM(1, 707) = 707

GCD(1, 707) = ( 1 x 707 ) / 707

GCD(1, 707) = 707 / 707

GCD(1, 707) = 1

GCD of 144, 842, 159, 707 is 1

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1. What is the GCD of 144, 842, 159, 707?

GCD of 144, 842, 159, 707 is 1

2. Where do I get the detailed procedure to find GCD of 144, 842, 159, 707?

You can find a detailed procedure to find GCD of 144, 842, 159, 707 on our page.

3. How to find GCD of 144, 842, 159, 707 on a calculator?

You can find the GCD of 144, 842, 159, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.