GCD of 708, 296, 27, 988 Calculator

Given Input numbers are 708, 296, 27, 988

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Greatest Common Divisior

We found the divisors of 708, 296, 27, 988 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 296, 27, 988 is 1.

Therefore, GCD of numbers 708, 296, 27, 988 is 1

Given Input Data is 708, 296, 27, 988

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 988 is 2 x 2 x 13 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(708, 296) = 52392

GCD(708, 296) = ( 708 x 296 ) / 52392

GCD(708, 296) = 209568 / 52392

GCD(708, 296) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 27

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

LCM(4, 27) = 108

GCD(4, 27) = ( 4 x 27 ) / 108

GCD(4, 27) = 108 / 108

GCD(4, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

GCD of 708, 296, 27, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 247, 69, 786
• GCD of 223, 932, 69, 855
• GCD of 862, 126, 55, 562
• GCD of 275, 995, 13, 222
• GCD of 591, 990, 38, 864

1. What is the GCD of 708, 296, 27, 988?

GCD of 708, 296, 27, 988 is 1

2. Where do I get the detailed procedure to find GCD of 708, 296, 27, 988?

You can find a detailed procedure to find GCD of 708, 296, 27, 988 on our page.

3. How to find GCD of 708, 296, 27, 988 on a calculator?

You can find the GCD of 708, 296, 27, 988 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.