GCD of 144, 407, 86, 158 Calculator

Given Input numbers are 144, 407, 86, 158

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 144, 407, 86, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 407, 86, 158 is 1.

Therefore, GCD of numbers 144, 407, 86, 158 is 1

Given Input Data is 144, 407, 86, 158

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 407 is 11 x 37

Prime Factorization of 86 is 2 x 43

Prime Factorization of 158 is 2 x 79

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, 407) = 58608

GCD(144, 407) = ( 144 x 407 ) / 58608

GCD(144, 407) = 58608 / 58608

GCD(144, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 144, 407, 86, 158 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 541, 94, 581
• GCD of 618, 616, 95, 110
• GCD of 570, 706, 99, 131
• GCD of 456, 180, 22, 862
• GCD of 880, 737, 77, 755

1. What is the GCD of 144, 407, 86, 158?

GCD of 144, 407, 86, 158 is 1

2. Where do I get the detailed procedure to find GCD of 144, 407, 86, 158?

You can find a detailed procedure to find GCD of 144, 407, 86, 158 on our page.

3. How to find GCD of 144, 407, 86, 158 on a calculator?

You can find the GCD of 144, 407, 86, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.