GCD of 120, 744, 86, 622 Calculator

Given Input numbers are 120, 744, 86, 622

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 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 86

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

1, 2, 43, 86

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 120, 744, 86, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 744, 86, 622 is 2.

Therefore, GCD of numbers 120, 744, 86, 622 is 2

Given Input Data is 120, 744, 86, 622

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 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 86 is 2 x 43

Prime Factorization of 622 is 2 x 311

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 744) = 3720

GCD(120, 744) = ( 120 x 744 ) / 3720

GCD(120, 744) = 89280 / 3720

GCD(120, 744) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 86

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

LCM(24, 86) = 1032

GCD(24, 86) = ( 24 x 86 ) / 1032

GCD(24, 86) = 2064 / 1032

GCD(24, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 622

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

LCM(2, 622) = 622

GCD(2, 622) = ( 2 x 622 ) / 622

GCD(2, 622) = 1244 / 622

GCD(2, 622) = 2

GCD of 120, 744, 86, 622 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 296, 26, 654
• GCD of 931, 311, 29, 301
• GCD of 319, 228, 88, 829
• GCD of 430, 796, 37, 864
• GCD of 122, 100, 75, 977

1. What is the GCD of 120, 744, 86, 622?

GCD of 120, 744, 86, 622 is 2

2. Where do I get the detailed procedure to find GCD of 120, 744, 86, 622?

You can find a detailed procedure to find GCD of 120, 744, 86, 622 on our page.

3. How to find GCD of 120, 744, 86, 622 on a calculator?

You can find the GCD of 120, 744, 86, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.