GCD of 195, 354, 58, 624 Calculator

Given Input numbers are 195, 354, 58, 624

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

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 195, 354, 58, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 354, 58, 624 is 1.

Therefore, GCD of numbers 195, 354, 58, 624 is 1

Given Input Data is 195, 354, 58, 624

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 58 is 2 x 29

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 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(195, 354) = 23010

GCD(195, 354) = ( 195 x 354 ) / 23010

GCD(195, 354) = 69030 / 23010

GCD(195, 354) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 58

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

LCM(3, 58) = 174

GCD(3, 58) = ( 3 x 58 ) / 174

GCD(3, 58) = 174 / 174

GCD(3, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

GCD of 195, 354, 58, 624 is 1

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• GCD of 798, 432, 55, 197
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1. What is the GCD of 195, 354, 58, 624?

GCD of 195, 354, 58, 624 is 1

2. Where do I get the detailed procedure to find GCD of 195, 354, 58, 624?

You can find a detailed procedure to find GCD of 195, 354, 58, 624 on our page.

3. How to find GCD of 195, 354, 58, 624 on a calculator?

You can find the GCD of 195, 354, 58, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.