GCD of 988, 866, 768, 126 Calculator

Given Input numbers are 988, 866, 768, 126

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

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 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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

Greatest Common Divisior

We found the divisors of 988, 866, 768, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 866, 768, 126 is 2.

Therefore, GCD of numbers 988, 866, 768, 126 is 2

Given Input Data is 988, 866, 768, 126

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

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

Prime Factorization of 866 is 2 x 433

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

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(988, 866) = 427804

GCD(988, 866) = ( 988 x 866 ) / 427804

GCD(988, 866) = 855608 / 427804

GCD(988, 866) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 768

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

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

GCD(2, 768) = 1536 / 768

GCD(2, 768) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 126

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

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

GCD(2, 126) = 252 / 126

GCD(2, 126) = 2

GCD of 988, 866, 768, 126 is 2

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1. What is the GCD of 988, 866, 768, 126?

GCD of 988, 866, 768, 126 is 2

2. Where do I get the detailed procedure to find GCD of 988, 866, 768, 126?

You can find a detailed procedure to find GCD of 988, 866, 768, 126 on our page.

3. How to find GCD of 988, 866, 768, 126 on a calculator?

You can find the GCD of 988, 866, 768, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.