GCD of 598, 712, 28, 666 Calculator

Given Input numbers are 598, 712, 28, 666

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

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 598, 712, 28, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 712, 28, 666 is 2.

Therefore, GCD of numbers 598, 712, 28, 666 is 2

Given Input Data is 598, 712, 28, 666

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 666 is 2 x 3 x 3 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(598, 712) = 212888

GCD(598, 712) = ( 598 x 712 ) / 212888

GCD(598, 712) = 425776 / 212888

GCD(598, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 28

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

LCM(2, 28) = 28

GCD(2, 28) = ( 2 x 28 ) / 28

GCD(2, 28) = 56 / 28

GCD(2, 28) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 666

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

LCM(2, 666) = 666

GCD(2, 666) = ( 2 x 666 ) / 666

GCD(2, 666) = 1332 / 666

GCD(2, 666) = 2

GCD of 598, 712, 28, 666 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 129, 42, 677
• GCD of 761, 349, 77, 611
• GCD of 132, 460, 19, 241
• GCD of 901, 497, 10, 790
• GCD of 252, 298, 53, 349

1. What is the GCD of 598, 712, 28, 666?

GCD of 598, 712, 28, 666 is 2

2. Where do I get the detailed procedure to find GCD of 598, 712, 28, 666?

You can find a detailed procedure to find GCD of 598, 712, 28, 666 on our page.

3. How to find GCD of 598, 712, 28, 666 on a calculator?

You can find the GCD of 598, 712, 28, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.