GCD of 668, 543, 48, 814 Calculator

Given Input numbers are 668, 543, 48, 814

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

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 668, 543, 48, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 543, 48, 814 is 1.

Therefore, GCD of numbers 668, 543, 48, 814 is 1

Given Input Data is 668, 543, 48, 814

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

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 543 is 3 x 181

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 814 is 2 x 11 x 37

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(668, 543) = 362724

GCD(668, 543) = ( 668 x 543 ) / 362724

GCD(668, 543) = 362724 / 362724

GCD(668, 543) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 668, 543, 48, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 693, 494, 18, 817
• GCD of 233, 253, 84, 172
• GCD of 864, 868, 58, 708
• GCD of 401, 461, 32, 497
• GCD of 296, 546, 18, 186

1. What is the GCD of 668, 543, 48, 814?

GCD of 668, 543, 48, 814 is 1

2. Where do I get the detailed procedure to find GCD of 668, 543, 48, 814?

You can find a detailed procedure to find GCD of 668, 543, 48, 814 on our page.

3. How to find GCD of 668, 543, 48, 814 on a calculator?

You can find the GCD of 668, 543, 48, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.