GCD of 126, 988, 27, 989 Calculator

Given Input numbers are 126, 988, 27, 989

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

Divisors of 27

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

1, 3, 9, 27

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 126, 988, 27, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 988, 27, 989 is 1.

Therefore, GCD of numbers 126, 988, 27, 989 is 1

Given Input Data is 126, 988, 27, 989

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 989 is 23 x 43

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(126, 988) = 62244

GCD(126, 988) = ( 126 x 988 ) / 62244

GCD(126, 988) = 124488 / 62244

GCD(126, 988) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 126, 988, 27, 989 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 633, 54, 917
• GCD of 618, 210, 93, 188
• GCD of 827, 359, 42, 639
• GCD of 661, 577, 38, 506
• GCD of 754, 301, 42, 828

1. What is the GCD of 126, 988, 27, 989?

GCD of 126, 988, 27, 989 is 1

2. Where do I get the detailed procedure to find GCD of 126, 988, 27, 989?

You can find a detailed procedure to find GCD of 126, 988, 27, 989 on our page.

3. How to find GCD of 126, 988, 27, 989 on a calculator?

You can find the GCD of 126, 988, 27, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.