GCD of 295, 353, 99, 635 Calculator

Given Input numbers are 295, 353, 99, 635

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 353

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

1, 353

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Greatest Common Divisior

We found the divisors of 295, 353, 99, 635 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 353, 99, 635 is 1.

Therefore, GCD of numbers 295, 353, 99, 635 is 1

Given Input Data is 295, 353, 99, 635

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 353 is 353

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 635 is 5 x 127

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(295, 353) = 104135

GCD(295, 353) = ( 295 x 353 ) / 104135

GCD(295, 353) = 104135 / 104135

GCD(295, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 635

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

LCM(1, 635) = 635

GCD(1, 635) = ( 1 x 635 ) / 635

GCD(1, 635) = 635 / 635

GCD(1, 635) = 1

GCD of 295, 353, 99, 635 is 1

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1. What is the GCD of 295, 353, 99, 635?

GCD of 295, 353, 99, 635 is 1

2. Where do I get the detailed procedure to find GCD of 295, 353, 99, 635?

You can find a detailed procedure to find GCD of 295, 353, 99, 635 on our page.

3. How to find GCD of 295, 353, 99, 635 on a calculator?

You can find the GCD of 295, 353, 99, 635 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.