GCD of 748, 798, 456, 263 Calculator

Given Input numbers are 748, 798, 456, 263

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 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 263

List of positive integer divisors of 263 that divides 263 without a remainder.

1, 263

Greatest Common Divisior

We found the divisors of 748, 798, 456, 263 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 798, 456, 263 is 1.

Therefore, GCD of numbers 748, 798, 456, 263 is 1

Given Input Data is 748, 798, 456, 263

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 798 is 2 x 3 x 7 x 19

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 263 is 263

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, 798) = 298452

GCD(748, 798) = ( 748 x 798 ) / 298452

GCD(748, 798) = 596904 / 298452

GCD(748, 798) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 456

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

LCM(2, 456) = 456

GCD(2, 456) = ( 2 x 456 ) / 456

GCD(2, 456) = 912 / 456

GCD(2, 456) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 263

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

LCM(2, 263) = 526

GCD(2, 263) = ( 2 x 263 ) / 526

GCD(2, 263) = 526 / 526

GCD(2, 263) = 1

GCD of 748, 798, 456, 263 is 1

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1. What is the GCD of 748, 798, 456, 263?

GCD of 748, 798, 456, 263 is 1

2. Where do I get the detailed procedure to find GCD of 748, 798, 456, 263?

You can find a detailed procedure to find GCD of 748, 798, 456, 263 on our page.

3. How to find GCD of 748, 798, 456, 263 on a calculator?

You can find the GCD of 748, 798, 456, 263 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.