GCD of 748, 883, 537, 798 Calculator

Given Input numbers are 748, 883, 537, 798

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 883

List of positive integer divisors of 883 that divides 883 without a remainder.

1, 883

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

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

Greatest Common Divisior

We found the divisors of 748, 883, 537, 798 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 883, 537, 798 is 1.

Therefore, GCD of numbers 748, 883, 537, 798 is 1

Given Input Data is 748, 883, 537, 798

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 883 is 883

Prime Factorization of 537 is 3 x 179

Prime Factorization of 798 is 2 x 3 x 7 x 19

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, 883) = 660484

GCD(748, 883) = ( 748 x 883 ) / 660484

GCD(748, 883) = 660484 / 660484

GCD(748, 883) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 798

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

LCM(1, 798) = 798

GCD(1, 798) = ( 1 x 798 ) / 798

GCD(1, 798) = 798 / 798

GCD(1, 798) = 1

GCD of 748, 883, 537, 798 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 424, 735, 267
• GCD of 403, 457, 154, 544
• GCD of 548, 516, 787, 793
• GCD of 358, 800, 812, 685
• GCD of 884, 600, 976, 767

1. What is the GCD of 748, 883, 537, 798?

GCD of 748, 883, 537, 798 is 1

2. Where do I get the detailed procedure to find GCD of 748, 883, 537, 798?

You can find a detailed procedure to find GCD of 748, 883, 537, 798 on our page.

3. How to find GCD of 748, 883, 537, 798 on a calculator?

You can find the GCD of 748, 883, 537, 798 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.