GCD of 748, 270, 83, 365 Calculator

Given Input numbers are 748, 270, 83, 365

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 748, 270, 83, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 270, 83, 365 is 1.

Therefore, GCD of numbers 748, 270, 83, 365 is 1

Given Input Data is 748, 270, 83, 365

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 83 is 83

Prime Factorization of 365 is 5 x 73

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(748, 270) = 100980

GCD(748, 270) = ( 748 x 270 ) / 100980

GCD(748, 270) = 201960 / 100980

GCD(748, 270) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 83

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

LCM(2, 83) = 166

GCD(2, 83) = ( 2 x 83 ) / 166

GCD(2, 83) = 166 / 166

GCD(2, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 748, 270, 83, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 481, 57, 774
• GCD of 912, 852, 73, 737
• GCD of 622, 556, 38, 525
• GCD of 500, 966, 92, 281
• GCD of 109, 363, 56, 357

1. What is the GCD of 748, 270, 83, 365?

GCD of 748, 270, 83, 365 is 1

2. Where do I get the detailed procedure to find GCD of 748, 270, 83, 365?

You can find a detailed procedure to find GCD of 748, 270, 83, 365 on our page.

3. How to find GCD of 748, 270, 83, 365 on a calculator?

You can find the GCD of 748, 270, 83, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.