GCD of 949, 284, 138 Calculator

Given Input numbers are 949, 284, 138

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

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 949, 284, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 284, 138 is 1.

Therefore, GCD of numbers 949, 284, 138 is 1

Given Input Data is 949, 284, 138

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 284 is 2 x 2 x 71

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(949, 284) = 269516

GCD(949, 284) = ( 949 x 284 ) / 269516

GCD(949, 284) = 269516 / 269516

GCD(949, 284) = 1

Step2:

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 949, 284, 138 is 1

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1. What is the GCD of 949, 284, 138?

GCD of 949, 284, 138 is 1

2. Where do I get the detailed procedure to find GCD of 949, 284, 138?

You can find a detailed procedure to find GCD of 949, 284, 138 on our page.

3. How to find GCD of 949, 284, 138 on a calculator?

You can find the GCD of 949, 284, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.