GCD of 748, 559, 915, 646 Calculator

Given Input numbers are 748, 559, 915, 646

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 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Greatest Common Divisior

We found the divisors of 748, 559, 915, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 559, 915, 646 is 1.

Therefore, GCD of numbers 748, 559, 915, 646 is 1

Given Input Data is 748, 559, 915, 646

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 559 is 13 x 43

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 646 is 2 x 17 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, 559) = 418132

GCD(748, 559) = ( 748 x 559 ) / 418132

GCD(748, 559) = 418132 / 418132

GCD(748, 559) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 1

GCD of 748, 559, 915, 646 is 1

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1. What is the GCD of 748, 559, 915, 646?

GCD of 748, 559, 915, 646 is 1

2. Where do I get the detailed procedure to find GCD of 748, 559, 915, 646?

You can find a detailed procedure to find GCD of 748, 559, 915, 646 on our page.

3. How to find GCD of 748, 559, 915, 646 on a calculator?

You can find the GCD of 748, 559, 915, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.