GCD of 353, 146, 107, 653 Calculator

Given Input numbers are 353, 146, 107, 653

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

Divisors of 353

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

1, 353

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Greatest Common Divisior

We found the divisors of 353, 146, 107, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 146, 107, 653 is 1.

Therefore, GCD of numbers 353, 146, 107, 653 is 1

Given Input Data is 353, 146, 107, 653

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

Prime Factorization of 353 is 353

Prime Factorization of 146 is 2 x 73

Prime Factorization of 107 is 107

Prime Factorization of 653 is 653

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(353, 146) = 51538

GCD(353, 146) = ( 353 x 146 ) / 51538

GCD(353, 146) = 51538 / 51538

GCD(353, 146) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

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

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 653

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

LCM(1, 653) = 653

GCD(1, 653) = ( 1 x 653 ) / 653

GCD(1, 653) = 653 / 653

GCD(1, 653) = 1

GCD of 353, 146, 107, 653 is 1

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1. What is the GCD of 353, 146, 107, 653?

GCD of 353, 146, 107, 653 is 1

2. Where do I get the detailed procedure to find GCD of 353, 146, 107, 653?

You can find a detailed procedure to find GCD of 353, 146, 107, 653 on our page.

3. How to find GCD of 353, 146, 107, 653 on a calculator?

You can find the GCD of 353, 146, 107, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.