GCD of 120, 589, 658, 124 Calculator

Given Input numbers are 120, 589, 658, 124

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

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

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

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Greatest Common Divisior

We found the divisors of 120, 589, 658, 124 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 589, 658, 124 is 1.

Therefore, GCD of numbers 120, 589, 658, 124 is 1

Given Input Data is 120, 589, 658, 124

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

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 589 is 19 x 31

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 124 is 2 x 2 x 31

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(120, 589) = 70680

GCD(120, 589) = ( 120 x 589 ) / 70680

GCD(120, 589) = 70680 / 70680

GCD(120, 589) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 658

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

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

GCD(1, 658) = 658 / 658

GCD(1, 658) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 124

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

LCM(1, 124) = 124

GCD(1, 124) = ( 1 x 124 ) / 124

GCD(1, 124) = 124 / 124

GCD(1, 124) = 1

GCD of 120, 589, 658, 124 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 955, 365, 306
• GCD of 448, 242, 383, 163
• GCD of 473, 803, 350, 812
• GCD of 860, 486, 192, 938
• GCD of 211, 226, 624, 721

1. What is the GCD of 120, 589, 658, 124?

GCD of 120, 589, 658, 124 is 1

2. Where do I get the detailed procedure to find GCD of 120, 589, 658, 124?

You can find a detailed procedure to find GCD of 120, 589, 658, 124 on our page.

3. How to find GCD of 120, 589, 658, 124 on a calculator?

You can find the GCD of 120, 589, 658, 124 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.