GCD of 478, 624, 41, 357 Calculator

Given Input numbers are 478, 624, 41, 357

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

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

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Greatest Common Divisior

We found the divisors of 478, 624, 41, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 624, 41, 357 is 1.

Therefore, GCD of numbers 478, 624, 41, 357 is 1

Given Input Data is 478, 624, 41, 357

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 41 is 41

Prime Factorization of 357 is 3 x 7 x 17

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(478, 624) = 149136

GCD(478, 624) = ( 478 x 624 ) / 149136

GCD(478, 624) = 298272 / 149136

GCD(478, 624) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 357

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

LCM(1, 357) = 357

GCD(1, 357) = ( 1 x 357 ) / 357

GCD(1, 357) = 357 / 357

GCD(1, 357) = 1

GCD of 478, 624, 41, 357 is 1

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1. What is the GCD of 478, 624, 41, 357?

GCD of 478, 624, 41, 357 is 1

2. Where do I get the detailed procedure to find GCD of 478, 624, 41, 357?

You can find a detailed procedure to find GCD of 478, 624, 41, 357 on our page.

3. How to find GCD of 478, 624, 41, 357 on a calculator?

You can find the GCD of 478, 624, 41, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.