GCD of 358, 455, 628, 295 Calculator

Given Input numbers are 358, 455, 628, 295

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 295

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

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 358, 455, 628, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 455, 628, 295 is 1.

Therefore, GCD of numbers 358, 455, 628, 295 is 1

Given Input Data is 358, 455, 628, 295

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 295 is 5 x 59

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(358, 455) = 162890

GCD(358, 455) = ( 358 x 455 ) / 162890

GCD(358, 455) = 162890 / 162890

GCD(358, 455) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 358, 455, 628, 295 is 1

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1. What is the GCD of 358, 455, 628, 295?

GCD of 358, 455, 628, 295 is 1

2. Where do I get the detailed procedure to find GCD of 358, 455, 628, 295?

You can find a detailed procedure to find GCD of 358, 455, 628, 295 on our page.

3. How to find GCD of 358, 455, 628, 295 on a calculator?

You can find the GCD of 358, 455, 628, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.