GCD of 138, 469, 32, 208 Calculator

Given Input numbers are 138, 469, 32, 208

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 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 138, 469, 32, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 469, 32, 208 is 1.

Therefore, GCD of numbers 138, 469, 32, 208 is 1

Given Input Data is 138, 469, 32, 208

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 469 is 7 x 67

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

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, 469) = 64722

GCD(138, 469) = ( 138 x 469 ) / 64722

GCD(138, 469) = 64722 / 64722

GCD(138, 469) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 138, 469, 32, 208 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 533, 42, 333
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• GCD of 349, 243, 50, 979

1. What is the GCD of 138, 469, 32, 208?

GCD of 138, 469, 32, 208 is 1

2. Where do I get the detailed procedure to find GCD of 138, 469, 32, 208?

You can find a detailed procedure to find GCD of 138, 469, 32, 208 on our page.

3. How to find GCD of 138, 469, 32, 208 on a calculator?

You can find the GCD of 138, 469, 32, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.