GCD of 720, 348, 62, 366 Calculator

Given Input numbers are 720, 348, 62, 366

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

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 62

List of positive integer divisors of 62 that divides 62 without a remainder.

1, 2, 31, 62

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 720, 348, 62, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 348, 62, 366 is 2.

Therefore, GCD of numbers 720, 348, 62, 366 is 2

Given Input Data is 720, 348, 62, 366

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

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 62 is 2 x 31

Prime Factorization of 366 is 2 x 3 x 61

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(720, 348) = 20880

GCD(720, 348) = ( 720 x 348 ) / 20880

GCD(720, 348) = 250560 / 20880

GCD(720, 348) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 62

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

LCM(12, 62) = 372

GCD(12, 62) = ( 12 x 62 ) / 372

GCD(12, 62) = 744 / 372

GCD(12, 62) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 366

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

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

GCD(2, 366) = 732 / 366

GCD(2, 366) = 2

GCD of 720, 348, 62, 366 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 830, 33, 419
• GCD of 101, 614, 50, 928
• GCD of 956, 785, 41, 496
• GCD of 504, 431, 81, 999
• GCD of 564, 545, 22, 474

1. What is the GCD of 720, 348, 62, 366?

GCD of 720, 348, 62, 366 is 2

2. Where do I get the detailed procedure to find GCD of 720, 348, 62, 366?

You can find a detailed procedure to find GCD of 720, 348, 62, 366 on our page.

3. How to find GCD of 720, 348, 62, 366 on a calculator?

You can find the GCD of 720, 348, 62, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.