GCD of 66, 144, 341, 138 Calculator

Given Input numbers are 66, 144, 341, 138

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

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

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 66, 144, 341, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 66, 144, 341, 138 is 1.

Therefore, GCD of numbers 66, 144, 341, 138 is 1

Given Input Data is 66, 144, 341, 138

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

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 341 is 11 x 31

Prime Factorization of 138 is 2 x 3 x 23

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(66, 144) = 1584

GCD(66, 144) = ( 66 x 144 ) / 1584

GCD(66, 144) = 9504 / 1584

GCD(66, 144) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 341

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

LCM(6, 341) = 2046

GCD(6, 341) = ( 6 x 341 ) / 2046

GCD(6, 341) = 2046 / 2046

GCD(6, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 66, 144, 341, 138 is 1

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• GCD of 55, 345, 420, 778
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1. What is the GCD of 66, 144, 341, 138?

GCD of 66, 144, 341, 138 is 1

2. Where do I get the detailed procedure to find GCD of 66, 144, 341, 138?

You can find a detailed procedure to find GCD of 66, 144, 341, 138 on our page.

3. How to find GCD of 66, 144, 341, 138 on a calculator?

You can find the GCD of 66, 144, 341, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.