GCD of 617, 142, 353, 104 Calculator

Given Input numbers are 617, 142, 353, 104

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

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

Greatest Common Divisior

We found the divisors of 617, 142, 353, 104 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 142, 353, 104 is 1.

Therefore, GCD of numbers 617, 142, 353, 104 is 1

Given Input Data is 617, 142, 353, 104

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

Prime Factorization of 617 is 617

Prime Factorization of 142 is 2 x 71

Prime Factorization of 353 is 353

Prime Factorization of 104 is 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(617, 142) = 87614

GCD(617, 142) = ( 617 x 142 ) / 87614

GCD(617, 142) = 87614 / 87614

GCD(617, 142) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 353

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

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

GCD(1, 353) = 353 / 353

GCD(1, 353) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

GCD of 617, 142, 353, 104 is 1

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1. What is the GCD of 617, 142, 353, 104?

GCD of 617, 142, 353, 104 is 1

2. Where do I get the detailed procedure to find GCD of 617, 142, 353, 104?

You can find a detailed procedure to find GCD of 617, 142, 353, 104 on our page.

3. How to find GCD of 617, 142, 353, 104 on a calculator?

You can find the GCD of 617, 142, 353, 104 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.