GCD of 109, 363, 56, 357 Calculator

Given Input numbers are 109, 363, 56, 357

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

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 109, 363, 56, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 363, 56, 357 is 1.

Therefore, GCD of numbers 109, 363, 56, 357 is 1

Given Input Data is 109, 363, 56, 357

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

Prime Factorization of 109 is 109

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 56 is 2 x 2 x 2 x 7

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(109, 363) = 39567

GCD(109, 363) = ( 109 x 363 ) / 39567

GCD(109, 363) = 39567 / 39567

GCD(109, 363) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 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 109, 363, 56, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 337, 144, 42, 123
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• GCD of 771, 885, 42, 344
• GCD of 839, 424, 42, 711
• GCD of 623, 615, 41, 584

1. What is the GCD of 109, 363, 56, 357?

GCD of 109, 363, 56, 357 is 1

2. Where do I get the detailed procedure to find GCD of 109, 363, 56, 357?

You can find a detailed procedure to find GCD of 109, 363, 56, 357 on our page.

3. How to find GCD of 109, 363, 56, 357 on a calculator?

You can find the GCD of 109, 363, 56, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.