GCD of 138, 369, 213, 265 Calculator

Given Input numbers are 138, 369, 213, 265

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

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 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 138, 369, 213, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 369, 213, 265 is 1.

Therefore, GCD of numbers 138, 369, 213, 265 is 1

Given Input Data is 138, 369, 213, 265

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 213 is 3 x 71

Prime Factorization of 265 is 5 x 53

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(138, 369) = 16974

GCD(138, 369) = ( 138 x 369 ) / 16974

GCD(138, 369) = 50922 / 16974

GCD(138, 369) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 213

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

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

GCD(3, 213) = 639 / 213

GCD(3, 213) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 265

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

LCM(3, 265) = 795

GCD(3, 265) = ( 3 x 265 ) / 795

GCD(3, 265) = 795 / 795

GCD(3, 265) = 1

GCD of 138, 369, 213, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 324, 109, 559
• GCD of 397, 762, 834, 889
• GCD of 265, 915, 300, 249
• GCD of 444, 361, 920, 223
• GCD of 902, 836, 928, 353

1. What is the GCD of 138, 369, 213, 265?

GCD of 138, 369, 213, 265 is 1

2. Where do I get the detailed procedure to find GCD of 138, 369, 213, 265?

You can find a detailed procedure to find GCD of 138, 369, 213, 265 on our page.

3. How to find GCD of 138, 369, 213, 265 on a calculator?

You can find the GCD of 138, 369, 213, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.