GCD of 43, 748, 531, 659 Calculator

Given Input numbers are 43, 748, 531, 659

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

Divisors of 43

List of positive integer divisors of 43 that divides 43 without a remainder.

1, 43

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 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Greatest Common Divisior

We found the divisors of 43, 748, 531, 659 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 748, 531, 659 is 1.

Therefore, GCD of numbers 43, 748, 531, 659 is 1

Given Input Data is 43, 748, 531, 659

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

Prime Factorization of 43 is 43

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 659 is 659

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(43, 748) = 32164

GCD(43, 748) = ( 43 x 748 ) / 32164

GCD(43, 748) = 32164 / 32164

GCD(43, 748) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 531

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

LCM(1, 531) = 531

GCD(1, 531) = ( 1 x 531 ) / 531

GCD(1, 531) = 531 / 531

GCD(1, 531) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

GCD of 43, 748, 531, 659 is 1

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1. What is the GCD of 43, 748, 531, 659?

GCD of 43, 748, 531, 659 is 1

2. Where do I get the detailed procedure to find GCD of 43, 748, 531, 659?

You can find a detailed procedure to find GCD of 43, 748, 531, 659 on our page.

3. How to find GCD of 43, 748, 531, 659 on a calculator?

You can find the GCD of 43, 748, 531, 659 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.