GCD of 120, 740, 48, 720 Calculator

Given Input numbers are 120, 740, 48, 720

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 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 120, 740, 48, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 740, 48, 720 is 4.

Therefore, GCD of numbers 120, 740, 48, 720 is 4

Given Input Data is 120, 740, 48, 720

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 740 is 2 x 2 x 5 x 37

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 740) = 4440

GCD(120, 740) = ( 120 x 740 ) / 4440

GCD(120, 740) = 88800 / 4440

GCD(120, 740) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 48

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

LCM(20, 48) = 240

GCD(20, 48) = ( 20 x 48 ) / 240

GCD(20, 48) = 960 / 240

GCD(20, 48) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 720

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

LCM(4, 720) = 720

GCD(4, 720) = ( 4 x 720 ) / 720

GCD(4, 720) = 2880 / 720

GCD(4, 720) = 4

GCD of 120, 740, 48, 720 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 620, 526, 48, 149
• GCD of 536, 875, 76, 670
• GCD of 500, 844, 49, 430
• GCD of 307, 636, 47, 889
• GCD of 667, 555, 59, 833

1. What is the GCD of 120, 740, 48, 720?

GCD of 120, 740, 48, 720 is 4

2. Where do I get the detailed procedure to find GCD of 120, 740, 48, 720?

You can find a detailed procedure to find GCD of 120, 740, 48, 720 on our page.

3. How to find GCD of 120, 740, 48, 720 on a calculator?

You can find the GCD of 120, 740, 48, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.