GCD of 660, 891, 138, 126 Calculator

Given Input numbers are 660, 891, 138, 126

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

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

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 660, 891, 138, 126 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 891, 138, 126 is 3.

Therefore, GCD of numbers 660, 891, 138, 126 is 3

Given Input Data is 660, 891, 138, 126

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

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 138 is 2 x 3 x 23

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

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(660, 891) = 17820

GCD(660, 891) = ( 660 x 891 ) / 17820

GCD(660, 891) = 588060 / 17820

GCD(660, 891) = 33

Step2:

Here we consider the GCD from the above i.e. 33 as first number and the next as 138

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

LCM(33, 138) = 1518

GCD(33, 138) = ( 33 x 138 ) / 1518

GCD(33, 138) = 4554 / 1518

GCD(33, 138) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 126

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

LCM(3, 126) = 126

GCD(3, 126) = ( 3 x 126 ) / 126

GCD(3, 126) = 378 / 126

GCD(3, 126) = 3

GCD of 660, 891, 138, 126 is 3

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1. What is the GCD of 660, 891, 138, 126?

GCD of 660, 891, 138, 126 is 3

2. Where do I get the detailed procedure to find GCD of 660, 891, 138, 126?

You can find a detailed procedure to find GCD of 660, 891, 138, 126 on our page.

3. How to find GCD of 660, 891, 138, 126 on a calculator?

You can find the GCD of 660, 891, 138, 126 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.