GCD of 266, 289, 69, 138 Calculator

Given Input numbers are 266, 289, 69, 138

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

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

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 266, 289, 69, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 289, 69, 138 is 1.

Therefore, GCD of numbers 266, 289, 69, 138 is 1

Given Input Data is 266, 289, 69, 138

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

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 289 is 17 x 17

Prime Factorization of 69 is 3 x 23

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(266, 289) = 76874

GCD(266, 289) = ( 266 x 289 ) / 76874

GCD(266, 289) = 76874 / 76874

GCD(266, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 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 266, 289, 69, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 126, 19, 163
• GCD of 302, 708, 11, 581
• GCD of 599, 521, 37, 809
• GCD of 199, 239, 75, 378
• GCD of 265, 956, 18, 932

1. What is the GCD of 266, 289, 69, 138?

GCD of 266, 289, 69, 138 is 1

2. Where do I get the detailed procedure to find GCD of 266, 289, 69, 138?

You can find a detailed procedure to find GCD of 266, 289, 69, 138 on our page.

3. How to find GCD of 266, 289, 69, 138 on a calculator?

You can find the GCD of 266, 289, 69, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.