GCD of 145, 208, 17, 838 Calculator

Given Input numbers are 145, 208, 17, 838

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 145, 208, 17, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 208, 17, 838 is 1.

Therefore, GCD of numbers 145, 208, 17, 838 is 1

Given Input Data is 145, 208, 17, 838

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

Prime Factorization of 145 is 5 x 29

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

Prime Factorization of 17 is 17

Prime Factorization of 838 is 2 x 419

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(145, 208) = 30160

GCD(145, 208) = ( 145 x 208 ) / 30160

GCD(145, 208) = 30160 / 30160

GCD(145, 208) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

GCD of 145, 208, 17, 838 is 1

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• GCD of 343, 848, 83, 478
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1. What is the GCD of 145, 208, 17, 838?

GCD of 145, 208, 17, 838 is 1

2. Where do I get the detailed procedure to find GCD of 145, 208, 17, 838?

You can find a detailed procedure to find GCD of 145, 208, 17, 838 on our page.

3. How to find GCD of 145, 208, 17, 838 on a calculator?

You can find the GCD of 145, 208, 17, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.