GCD of 922, 660, 138 Calculator

Given Input numbers are 922, 660, 138

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

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

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 138

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

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

Greatest Common Divisior

We found the divisors of 922, 660, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 660, 138 is 2.

Therefore, GCD of numbers 922, 660, 138 is 2

Given Input Data is 922, 660, 138

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

Prime Factorization of 922 is 2 x 461

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

Prime Factorization of 138 is 2 x 3 x 23

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(922, 660) = 304260

GCD(922, 660) = ( 922 x 660 ) / 304260

GCD(922, 660) = 608520 / 304260

GCD(922, 660) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 138

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

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

GCD(2, 138) = 276 / 138

GCD(2, 138) = 2

GCD of 922, 660, 138 is 2

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1. What is the GCD of 922, 660, 138?

GCD of 922, 660, 138 is 2

2. Where do I get the detailed procedure to find GCD of 922, 660, 138?

You can find a detailed procedure to find GCD of 922, 660, 138 on our page.

3. How to find GCD of 922, 660, 138 on a calculator?

You can find the GCD of 922, 660, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.